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Finding the Third Proportional to 2,581,436,784 and 3,902,888,518

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Solution

The third proportional to 2,581,436,784 and 3,902,888,518 is: 5,900,798,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,436,784 : 3,902,888,518 = 3,902,888,518 : x
  2. Step 2: Convert to fraction form
    2,581,436,784/3,902,888,518 = 3,902,888,518/x
  3. Step 3: Cross multiply
    2,581,436,784x = 3,902,888,518 × 3,902,888,518
  4. Step 4: Simplify right side
    2,581,436,784x = 15,232,538,783,936,235,520
  5. Step 5: Solve for x
    x = 15,232,538,783,936,235,520/2,581,436,784
  6. Step 6: Final answer
    x = 5,900,798,686.36

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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.