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Finding the Third Proportional to 2,581,436,788 and 3,902,888,524

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Solution

The third proportional to 2,581,436,788 and 3,902,888,524 is: 5,900,798,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,436,788 : 3,902,888,524 = 3,902,888,524 : x
  2. Step 2: Convert to fraction form
    2,581,436,788/3,902,888,524 = 3,902,888,524/x
  3. Step 3: Cross multiply
    2,581,436,788x = 3,902,888,524 × 3,902,888,524
  4. Step 4: Simplify right side
    2,581,436,788x = 15,232,538,830,770,898,944
  5. Step 5: Solve for x
    x = 15,232,538,830,770,898,944/2,581,436,788
  6. Step 6: Final answer
    x = 5,900,798,695.35

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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.