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Finding the Third Proportional to 267,779,565 and 413,787,696

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Solution

The third proportional to 267,779,565 and 413,787,696 is: 639,407,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,779,565 : 413,787,696 = 413,787,696 : x
  2. Step 2: Convert to fraction form
    267,779,565/413,787,696 = 413,787,696/x
  3. Step 3: Cross multiply
    267,779,565x = 413,787,696 × 413,787,696
  4. Step 4: Simplify right side
    267,779,565x = 171,220,257,360,988,416
  5. Step 5: Solve for x
    x = 171,220,257,360,988,416/267,779,565
  6. Step 6: Final answer
    x = 639,407,481.90

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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.