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Finding the Third Proportional to 8,407,142 and 18,103,680

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Solution

The third proportional to 8,407,142 and 18,103,680 is: 38,983,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,142 : 18,103,680 = 18,103,680 : x
  2. Step 2: Convert to fraction form
    8,407,142/18,103,680 = 18,103,680/x
  3. Step 3: Cross multiply
    8,407,142x = 18,103,680 × 18,103,680
  4. Step 4: Simplify right side
    8,407,142x = 327,743,229,542,400
  5. Step 5: Solve for x
    x = 327,743,229,542,400/8,407,142
  6. Step 6: Final answer
    x = 38,983,905.53

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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.