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Finding the Third Proportional to 2,092,340,624 and 4,517,527,376

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Solution

The third proportional to 2,092,340,624 and 4,517,527,376 is: 9,753,695,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,340,624 : 4,517,527,376 = 4,517,527,376 : x
  2. Step 2: Convert to fraction form
    2,092,340,624/4,517,527,376 = 4,517,527,376/x
  3. Step 3: Cross multiply
    2,092,340,624x = 4,517,527,376 × 4,517,527,376
  4. Step 4: Simplify right side
    2,092,340,624x = 20,408,053,592,909,447,168
  5. Step 5: Solve for x
    x = 20,408,053,592,909,447,168/2,092,340,624
  6. Step 6: Final answer
    x = 9,753,695,626.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.