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Finding the Third Proportional to 7,882,000 and 16,942,720

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Solution

The third proportional to 7,882,000 and 16,942,720 is: 36,419,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,000 : 16,942,720 = 16,942,720 : x
  2. Step 2: Convert to fraction form
    7,882,000/16,942,720 = 16,942,720/x
  3. Step 3: Cross multiply
    7,882,000x = 16,942,720 × 16,942,720
  4. Step 4: Simplify right side
    7,882,000x = 287,055,760,998,400
  5. Step 5: Solve for x
    x = 287,055,760,998,400/7,882,000
  6. Step 6: Final answer
    x = 36,419,152.63

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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.