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Finding the Third Proportional to 47,078,802 and 99,757,944

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Solution

The third proportional to 47,078,802 and 99,757,944 is: 211,382,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078,802 : 99,757,944 = 99,757,944 : x
  2. Step 2: Convert to fraction form
    47,078,802/99,757,944 = 99,757,944/x
  3. Step 3: Cross multiply
    47,078,802x = 99,757,944 × 99,757,944
  4. Step 4: Simplify right side
    47,078,802x = 9,951,647,391,107,136
  5. Step 5: Solve for x
    x = 9,951,647,391,107,136/47,078,802
  6. Step 6: Final answer
    x = 211,382,766.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.