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Finding the Third Proportional to 38,022,688 and 82,105,952

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Solution

The third proportional to 38,022,688 and 82,105,952 is: 177,299,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022,688 : 82,105,952 = 82,105,952 : x
  2. Step 2: Convert to fraction form
    38,022,688/82,105,952 = 82,105,952/x
  3. Step 3: Cross multiply
    38,022,688x = 82,105,952 × 82,105,952
  4. Step 4: Simplify right side
    38,022,688x = 6,741,387,353,826,304
  5. Step 5: Solve for x
    x = 6,741,387,353,826,304/38,022,688
  6. Step 6: Final answer
    x = 177,299,073.49

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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.