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Finding the Third Proportional to 38,351,284 and 82,394,601

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Solution

The third proportional to 38,351,284 and 82,394,601 is: 177,018,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351,284 : 82,394,601 = 82,394,601 : x
  2. Step 2: Convert to fraction form
    38,351,284/82,394,601 = 82,394,601/x
  3. Step 3: Cross multiply
    38,351,284x = 82,394,601 × 82,394,601
  4. Step 4: Simplify right side
    38,351,284x = 6,788,870,273,949,201
  5. Step 5: Solve for x
    x = 6,788,870,273,949,201/38,351,284
  6. Step 6: Final answer
    x = 177,018,069.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.