Altitude Ratio

Geometry Level 4

\( ABC \) is a triangle with a right angle at \( A \). \( M\) and \(N\) are points on \( BC \) such that \( AM \) is the altitude, and \( AN \) is the angle bisector of \(\angle BAC\). If \( \frac {CN} {NB} = 21\), what is \( \frac {CM} {MB} \)?

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