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Finding the Third Proportional to 10,965,512 and 23,761,542

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Solution

The third proportional to 10,965,512 and 23,761,542 is: 51,489,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965,512 : 23,761,542 = 23,761,542 : x
  2. Step 2: Convert to fraction form
    10,965,512/23,761,542 = 23,761,542/x
  3. Step 3: Cross multiply
    10,965,512x = 23,761,542 × 23,761,542
  4. Step 4: Simplify right side
    10,965,512x = 564,610,878,217,764
  5. Step 5: Solve for x
    x = 564,610,878,217,764/10,965,512
  6. Step 6: Final answer
    x = 51,489,695.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.