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Finding the Third Proportional to 17,747,564 and 27,262,439

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Solution

The third proportional to 17,747,564 and 27,262,439 is: 41,878,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747,564 : 27,262,439 = 27,262,439 : x
  2. Step 2: Convert to fraction form
    17,747,564/27,262,439 = 27,262,439/x
  3. Step 3: Cross multiply
    17,747,564x = 27,262,439 × 27,262,439
  4. Step 4: Simplify right side
    17,747,564x = 743,240,580,228,721
  5. Step 5: Solve for x
    x = 743,240,580,228,721/17,747,564
  6. Step 6: Final answer
    x = 41,878,456.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.