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Finding the Third Proportional to 52,517,959 and 84,381,743

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Solution

The third proportional to 52,517,959 and 84,381,743 is: 135,577,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517,959 : 84,381,743 = 84,381,743 : x
  2. Step 2: Convert to fraction form
    52,517,959/84,381,743 = 84,381,743/x
  3. Step 3: Cross multiply
    52,517,959x = 84,381,743 × 84,381,743
  4. Step 4: Simplify right side
    52,517,959x = 7,120,278,551,718,049
  5. Step 5: Solve for x
    x = 7,120,278,551,718,049/52,517,959
  6. Step 6: Final answer
    x = 135,577,975.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.