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Finding the Third Proportional to 71,872,806 and 156,338,466

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Solution

The third proportional to 71,872,806 and 156,338,466 is: 340,069,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872,806 : 156,338,466 = 156,338,466 : x
  2. Step 2: Convert to fraction form
    71,872,806/156,338,466 = 156,338,466/x
  3. Step 3: Cross multiply
    71,872,806x = 156,338,466 × 156,338,466
  4. Step 4: Simplify right side
    71,872,806x = 24,441,715,951,233,156
  5. Step 5: Solve for x
    x = 24,441,715,951,233,156/71,872,806
  6. Step 6: Final answer
    x = 340,069,037.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.