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Finding the Third Proportional to 267,336,234 and 425,384,514

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Solution

The third proportional to 267,336,234 and 425,384,514 is: 676,870,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,336,234 : 425,384,514 = 425,384,514 : x
  2. Step 2: Convert to fraction form
    267,336,234/425,384,514 = 425,384,514/x
  3. Step 3: Cross multiply
    267,336,234x = 425,384,514 × 425,384,514
  4. Step 4: Simplify right side
    267,336,234x = 180,951,984,751,016,192
  5. Step 5: Solve for x
    x = 180,951,984,751,016,192/267,336,234
  6. Step 6: Final answer
    x = 676,870,404.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.