Yes I have , they are lying about the mass and radius , it is an unfounded guess from science .
This is also not true. Estimates based on multiple known factors (in these cases, for reasons I'll try to explain, very good estimates) are not lies. Measuring the radius of the moon is not so very difficult, nor its volume, if you know the value of Pi. We know how far away the moon is at any given time (we've proved this by actually going there) gives a very, very good estimate of the radius by simply looking at apparent disc, measuring across at the widest point, and dividing by 2. That permits establishing the volume (4/3Pi*r^2). Same with the earth -- we're on it, we've travelled every centimetre of it, so how hard do you think it is to measure.
Now, the gravitational constant is not a guess. The first direct measurement of gravitational attraction between two bodies in the laboratory was performed in 1798, seventy-one years after Newton's death, by Henry Cavendish, who determined a value for
G implicitly, using a torsion balance invented by the geologist Rev. John Michell (1753). He used a horizontal torsion with lead balls whose inertia (in relation to the torsion constant) he could tell by timing the beam's oscillation. Their faint attraction to other balls placed alongside the beam was detectable by the deflection it caused. In spite of the experimental design being due to Michell, the experiment is now known as the Cavendish experiment for its first successful execution by Cavendish.
Cavendish's stated aim was the "weighing of Earth", that is, determining the average density of Earth and the Earth's mass. His result,
ρ = 5.448(33) g·cm−3, corresponds to value of
G = 6.74(4)×10−11 m3⋅kg−1⋅s−2. It is surprisingly accurate, about 1% above the modern value (comparable to the claimed standard uncertainty of 0.6%).
Now, what you are missing is that while the average masses of the Earth and moon may well be (well-evidenced) estimates, the gravitation constant is not. Since we can now bounce powerful lasers off the mirrors placed on the Lunar surface by the Apollo Astronauts, the amount of time it takes for the laser beam to return to Earth gives an incredibly precise measurement of the Moon's distance, within a few centimeters. Thus, if our estimates of the relative masses are a little off, the ratio is not, since we know both
G and distance. Doesn't matter if the moon is a tad lighter and the earth a tad heavier (or vice-versa).
As they say: "Do the math!"