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Finding the Third Proportional to 7,882,104 and 16,942,944

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Solution

The third proportional to 7,882,104 and 16,942,944 is: 36,419,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,104 : 16,942,944 = 16,942,944 : x
  2. Step 2: Convert to fraction form
    7,882,104/16,942,944 = 16,942,944/x
  3. Step 3: Cross multiply
    7,882,104x = 16,942,944 × 16,942,944
  4. Step 4: Simplify right side
    7,882,104x = 287,063,351,387,136
  5. Step 5: Solve for x
    x = 287,063,351,387,136/7,882,104
  6. Step 6: Final answer
    x = 36,419,635.09

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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.