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Finding the Third Proportional to 38,306,360 and 82,690,096

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Solution

The third proportional to 38,306,360 and 82,690,096 is: 178,499,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306,360 : 82,690,096 = 82,690,096 : x
  2. Step 2: Convert to fraction form
    38,306,360/82,690,096 = 82,690,096/x
  3. Step 3: Cross multiply
    38,306,360x = 82,690,096 × 82,690,096
  4. Step 4: Simplify right side
    38,306,360x = 6,837,651,976,489,216
  5. Step 5: Solve for x
    x = 6,837,651,976,489,216/38,306,360
  6. Step 6: Final answer
    x = 178,499,131.12

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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.