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Finding the Third Proportional to 227,469,123 and 491,184,018

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Solution

The third proportional to 227,469,123 and 491,184,018 is: 1,060,635,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469,123 : 491,184,018 = 491,184,018 : x
  2. Step 2: Convert to fraction form
    227,469,123/491,184,018 = 491,184,018/x
  3. Step 3: Cross multiply
    227,469,123x = 491,184,018 × 491,184,018
  4. Step 4: Simplify right side
    227,469,123x = 241,261,739,538,624,320
  5. Step 5: Solve for x
    x = 241,261,739,538,624,320/227,469,123
  6. Step 6: Final answer
    x = 1,060,635,115.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.