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Finding the Third Proportional to 11,622,171 and 27,007,747

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Solution

The third proportional to 11,622,171 and 27,007,747 is: 62,760,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622,171 : 27,007,747 = 27,007,747 : x
  2. Step 2: Convert to fraction form
    11,622,171/27,007,747 = 27,007,747/x
  3. Step 3: Cross multiply
    11,622,171x = 27,007,747 × 27,007,747
  4. Step 4: Simplify right side
    11,622,171x = 729,418,398,016,009
  5. Step 5: Solve for x
    x = 729,418,398,016,009/11,622,171
  6. Step 6: Final answer
    x = 62,760,941.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.