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Finding the Third Proportional to 267,779,639 and 413,787,810

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Solution

The third proportional to 267,779,639 and 413,787,810 is: 639,407,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,779,639 : 413,787,810 = 413,787,810 : x
  2. Step 2: Convert to fraction form
    267,779,639/413,787,810 = 413,787,810/x
  3. Step 3: Cross multiply
    267,779,639x = 413,787,810 × 413,787,810
  4. Step 4: Simplify right side
    267,779,639x = 171,220,351,704,596,096
  5. Step 5: Solve for x
    x = 171,220,351,704,596,096/267,779,639
  6. Step 6: Final answer
    x = 639,407,657.52

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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.