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Finding the Third Proportional to 2,581,436,766 and 3,902,888,493

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Solution

The third proportional to 2,581,436,766 and 3,902,888,493 is: 5,900,798,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,436,766 : 3,902,888,493 = 3,902,888,493 : x
  2. Step 2: Convert to fraction form
    2,581,436,766/3,902,888,493 = 3,902,888,493/x
  3. Step 3: Cross multiply
    2,581,436,766x = 3,902,888,493 × 3,902,888,493
  4. Step 4: Simplify right side
    2,581,436,766x = 15,232,538,588,791,810,048
  5. Step 5: Solve for x
    x = 15,232,538,588,791,810,048/2,581,436,766
  6. Step 6: Final answer
    x = 5,900,798,651.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.