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Finding the Third Proportional to 52,517,961 and 84,381,747

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Solution

The third proportional to 52,517,961 and 84,381,747 is: 135,577,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517,961 : 84,381,747 = 84,381,747 : x
  2. Step 2: Convert to fraction form
    52,517,961/84,381,747 = 84,381,747/x
  3. Step 3: Cross multiply
    52,517,961x = 84,381,747 × 84,381,747
  4. Step 4: Simplify right side
    52,517,961x = 7,120,279,226,772,009
  5. Step 5: Solve for x
    x = 7,120,279,226,772,009/52,517,961
  6. Step 6: Final answer
    x = 135,577,983.06

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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.