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Finding the Third Proportional to 5,179,728 and 11,279,022

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Solution

The third proportional to 5,179,728 and 11,279,022 is: 24,560,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179,728 : 11,279,022 = 11,279,022 : x
  2. Step 2: Convert to fraction form
    5,179,728/11,279,022 = 11,279,022/x
  3. Step 3: Cross multiply
    5,179,728x = 11,279,022 × 11,279,022
  4. Step 4: Simplify right side
    5,179,728x = 127,216,337,276,484
  5. Step 5: Solve for x
    x = 127,216,337,276,484/5,179,728
  6. Step 6: Final answer
    x = 24,560,428.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.