Ceva or Menelaus?

Geometry Level 1

In triangle ABC,ABC, EE lies on ACAC and FF lies on ABAB such that FEBC.FE \parallel BC. PP is the intersection point of BEBE and CF,CF, and extension of APAP meets BCBC at point D.D. Given that AE=2,CE=3,AD=7,AE=2, \quad CE=3, \quad AD=7, find length of AP. AP.

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