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Finding the Third Proportional to 37,859,084 and 82,351,432

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Solution

The third proportional to 37,859,084 and 82,351,432 is: 179,131,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859,084 : 82,351,432 = 82,351,432 : x
  2. Step 2: Convert to fraction form
    37,859,084/82,351,432 = 82,351,432/x
  3. Step 3: Cross multiply
    37,859,084x = 82,351,432 × 82,351,432
  4. Step 4: Simplify right side
    37,859,084x = 6,781,758,352,450,624
  5. Step 5: Solve for x
    x = 6,781,758,352,450,624/37,859,084
  6. Step 6: Final answer
    x = 179,131,601.61

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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.