How about that! This one seemed so incredible I had to fact-check it - and it turns out you're right (allowing for the difficulties of estimating both numbers): https://www.snopes.com/fact-check/trees-stars-milky-way/ Neat! Good for a bar bet - if only I hung out in bars! X-D
Lots of nice clues (1A1AThere are more of these on Earth than there are stars in the Galaxy[-----], 7A7AWord that is the most common english song title [-----], 8A8AMustached mushroom muncher[-----], 9A9AWhat's usually needed to achieve dreams[-----], 1D1DShort cuts[-----])