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Finding the Third Proportional to 10,965,439 and 23,761,397

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Solution

The third proportional to 10,965,439 and 23,761,397 is: 51,489,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965,439 : 23,761,397 = 23,761,397 : x
  2. Step 2: Convert to fraction form
    10,965,439/23,761,397 = 23,761,397/x
  3. Step 3: Cross multiply
    10,965,439x = 23,761,397 × 23,761,397
  4. Step 4: Simplify right side
    10,965,439x = 564,603,987,391,609
  5. Step 5: Solve for x
    x = 564,603,987,391,609/10,965,439
  6. Step 6: Final answer
    x = 51,489,410.26

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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.