It's supposedly taking the equivalent of 2e20 joules, or roughly
7.2e21 KW worth of gravity force(Fg), for the task of mutually holding
onto our moon, or vise versa.

How much of that energy is getting transferred into Earth? ( 3.6e21
KW ?)

How about 0.0001% = 3.6e15 KW (that's only 7.04 KW/m2, or 3.322e-3 W/
m3 [excluding our atmosphere])
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Brad Guth