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Finding the Third Proportional to 3,407,625,057 and 5,092,656,283

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Solution

The third proportional to 3,407,625,057 and 5,092,656,283 is: 7,610,915,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,625,057 : 5,092,656,283 = 5,092,656,283 : x
  2. Step 2: Convert to fraction form
    3,407,625,057/5,092,656,283 = 5,092,656,283/x
  3. Step 3: Cross multiply
    3,407,625,057x = 5,092,656,283 × 5,092,656,283
  4. Step 4: Simplify right side
    3,407,625,057x = 25,935,148,016,779,374,592
  5. Step 5: Solve for x
    x = 25,935,148,016,779,374,592/3,407,625,057
  6. Step 6: Final answer
    x = 7,610,915,984.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.