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Finding the Third Proportional to 37,246,836 and 81,419,496

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Solution

The third proportional to 37,246,836 and 81,419,496 is: 177,978,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,246,836 : 81,419,496 = 81,419,496 : x
  2. Step 2: Convert to fraction form
    37,246,836/81,419,496 = 81,419,496/x
  3. Step 3: Cross multiply
    37,246,836x = 81,419,496 × 81,419,496
  4. Step 4: Simplify right side
    37,246,836x = 6,629,134,328,894,016
  5. Step 5: Solve for x
    x = 6,629,134,328,894,016/37,246,836
  6. Step 6: Final answer
    x = 177,978,455.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.