When newspapers were printed by lithograph, the newsprint had to run over three rollers, illustrated in the diagram below by three circles. The centers A, B and C of the three circles are collinear. The equations of the outer circles are (* + 12)2 + (y + 15)2 = 25 and (x- 24)2 + (y – 12)2 = 100. Find the equation of the central circle.

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