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Finding the Third Proportional to 47,078,805 and 99,757,950

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Solution

The third proportional to 47,078,805 and 99,757,950 is: 211,382,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078,805 : 99,757,950 = 99,757,950 : x
  2. Step 2: Convert to fraction form
    47,078,805/99,757,950 = 99,757,950/x
  3. Step 3: Cross multiply
    47,078,805x = 99,757,950 × 99,757,950
  4. Step 4: Simplify right side
    47,078,805x = 9,951,648,588,202,500
  5. Step 5: Solve for x
    x = 9,951,648,588,202,500/47,078,805
  6. Step 6: Final answer
    x = 211,382,778.05

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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.