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Finding the Third Proportional to 37,574,101 and 82,791,349

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Solution

The third proportional to 37,574,101 and 82,791,349 is: 182,423,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,574,101 : 82,791,349 = 82,791,349 : x
  2. Step 2: Convert to fraction form
    37,574,101/82,791,349 = 82,791,349/x
  3. Step 3: Cross multiply
    37,574,101x = 82,791,349 × 82,791,349
  4. Step 4: Simplify right side
    37,574,101x = 6,854,407,469,239,801
  5. Step 5: Solve for x
    x = 6,854,407,469,239,801/37,574,101
  6. Step 6: Final answer
    x = 182,423,725.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.