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Finding the Third Proportional to 547,712,400 and 1,291,657,902

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Solution

The third proportional to 547,712,400 and 1,291,657,902 is: 3,046,087,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,712,400 : 1,291,657,902 = 1,291,657,902 : x
  2. Step 2: Convert to fraction form
    547,712,400/1,291,657,902 = 1,291,657,902/x
  3. Step 3: Cross multiply
    547,712,400x = 1,291,657,902 × 1,291,657,902
  4. Step 4: Simplify right side
    547,712,400x = 1,668,380,135,799,041,536
  5. Step 5: Solve for x
    x = 1,668,380,135,799,041,536/547,712,400
  6. Step 6: Final answer
    x = 3,046,087,939.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.