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Finding the Third Proportional to 267,779,567 and 413,787,699

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Solution

The third proportional to 267,779,567 and 413,787,699 is: 639,407,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,779,567 : 413,787,699 = 413,787,699 : x
  2. Step 2: Convert to fraction form
    267,779,567/413,787,699 = 413,787,699/x
  3. Step 3: Cross multiply
    267,779,567x = 413,787,699 × 413,787,699
  4. Step 4: Simplify right side
    267,779,567x = 171,220,259,843,714,592
  5. Step 5: Solve for x
    x = 171,220,259,843,714,592/267,779,567
  6. Step 6: Final answer
    x = 639,407,486.40

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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.