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Finding the Third Proportional to 37,703,109 and 82,124,466

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Solution

The third proportional to 37,703,109 and 82,124,466 is: 178,882,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,703,109 : 82,124,466 = 82,124,466 : x
  2. Step 2: Convert to fraction form
    37,703,109/82,124,466 = 82,124,466/x
  3. Step 3: Cross multiply
    37,703,109x = 82,124,466 × 82,124,466
  4. Step 4: Simplify right side
    37,703,109x = 6,744,427,915,785,156
  5. Step 5: Solve for x
    x = 6,744,427,915,785,156/37,703,109
  6. Step 6: Final answer
    x = 178,882,540.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.