<Solid-2025-251>, hint

Let M,N, M' N' be the midpoints of AB, BC, DE, EF respectively.

Since ABC, DEF are equilateral, P is the intersection of MF and ND and DP/PN=12/18

Hence GP=35x3/5=21. P' is the intersection of AN' and BM' and BP'/P'M'=36/6

Hence GP'=35x6/7=30. Hence PP'=30-21=9.