[ccooffee]

I wouldn't call that a final solution to the paradox, though.

(Put on your tinfoil hats.)

Maybe the Earth-Moon system was engineered. The solar system came together from a nebular cloud 4.6 billion years ago. The great impactor hypothesis points to the mega-collision around 4.5 billion years ago. During the early days of the solar system, the system was very chaotic. By applying tiny-but-very-precisely-calculated forces in that system, you could cause an impact. Sure, it's many orders of magnitude above what humans have accomplished, but the gravity slingshots that got the Voyager missions out of the solar system are the same principle.