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Finding the Third Proportional to 267,779,666 and 413,787,849

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Solution

The third proportional to 267,779,666 and 413,787,849 is: 639,407,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,779,666 : 413,787,849 = 413,787,849 : x
  2. Step 2: Convert to fraction form
    267,779,666/413,787,849 = 413,787,849/x
  3. Step 3: Cross multiply
    267,779,666x = 413,787,849 × 413,787,849
  4. Step 4: Simplify right side
    267,779,666x = 171,220,383,980,046,816
  5. Step 5: Solve for x
    x = 171,220,383,980,046,816/267,779,666
  6. Step 6: Final answer
    x = 639,407,713.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.