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Finding the Third Proportional to 13,027,682 and 27,844,398

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Solution

The third proportional to 13,027,682 and 27,844,398 is: 59,512,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027,682 : 27,844,398 = 27,844,398 : x
  2. Step 2: Convert to fraction form
    13,027,682/27,844,398 = 27,844,398/x
  3. Step 3: Cross multiply
    13,027,682x = 27,844,398 × 27,844,398
  4. Step 4: Simplify right side
    13,027,682x = 775,310,499,982,404
  5. Step 5: Solve for x
    x = 775,310,499,982,404/13,027,682
  6. Step 6: Final answer
    x = 59,512,544.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.