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Finding the Third Proportional to 227,469,125 and 491,184,022

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Solution

The third proportional to 227,469,125 and 491,184,022 is: 1,060,635,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469,125 : 491,184,022 = 491,184,022 : x
  2. Step 2: Convert to fraction form
    227,469,125/491,184,022 = 491,184,022/x
  3. Step 3: Cross multiply
    227,469,125x = 491,184,022 × 491,184,022
  4. Step 4: Simplify right side
    227,469,125x = 241,261,743,468,096,480
  5. Step 5: Solve for x
    x = 241,261,743,468,096,480/227,469,125
  6. Step 6: Final answer
    x = 1,060,635,123.42

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Why These Related Problems?

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