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Finding the Third Proportional to 5,123,727 and 11,007,234

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Solution

The third proportional to 5,123,727 and 11,007,234 is: 23,646,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123,727 : 11,007,234 = 11,007,234 : x
  2. Step 2: Convert to fraction form
    5,123,727/11,007,234 = 11,007,234/x
  3. Step 3: Cross multiply
    5,123,727x = 11,007,234 × 11,007,234
  4. Step 4: Simplify right side
    5,123,727x = 121,159,200,330,756
  5. Step 5: Solve for x
    x = 121,159,200,330,756/5,123,727
  6. Step 6: Final answer
    x = 23,646,693.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.