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Finding the Third Proportional to 38,022,608 and 82,105,792

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Solution

The third proportional to 38,022,608 and 82,105,792 is: 177,298,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022,608 : 82,105,792 = 82,105,792 : x
  2. Step 2: Convert to fraction form
    38,022,608/82,105,792 = 82,105,792/x
  3. Step 3: Cross multiply
    38,022,608x = 82,105,792 × 82,105,792
  4. Step 4: Simplify right side
    38,022,608x = 6,741,361,079,947,264
  5. Step 5: Solve for x
    x = 6,741,361,079,947,264/38,022,608
  6. Step 6: Final answer
    x = 177,298,755.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.