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Finding the Third Proportional to 2,427,561 and 5,233,747

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Solution

The third proportional to 2,427,561 and 5,233,747 is: 11,283,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,561 : 5,233,747 = 5,233,747 : x
  2. Step 2: Convert to fraction form
    2,427,561/5,233,747 = 5,233,747/x
  3. Step 3: Cross multiply
    2,427,561x = 5,233,747 × 5,233,747
  4. Step 4: Simplify right side
    2,427,561x = 27,392,107,660,009
  5. Step 5: Solve for x
    x = 27,392,107,660,009/2,427,561
  6. Step 6: Final answer
    x = 11,283,797.88

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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.