Question: Problem 3. Let ABC be a triangle. Let C' be the midpoint of theside AB. Let A' be a point on the side BC such

Problem 3. Let ABC be a triangle. Let C' be the midpoint of theside AB. Let A' be a point on the side BC such that CA' = 2A'B.Let B' be a point on the line AC such that CB' = 4CA. Let M bethe point of intersection of the line A'B' and the line CC'. Does the point M belong to segment CC? Find the ratio of CM: MC'.

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