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Finding the Third Proportional to 27,542,274 and 42,498,441

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Solution

The third proportional to 27,542,274 and 42,498,441 is: 65,576,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542,274 : 42,498,441 = 42,498,441 : x
  2. Step 2: Convert to fraction form
    27,542,274/42,498,441 = 42,498,441/x
  3. Step 3: Cross multiply
    27,542,274x = 42,498,441 × 42,498,441
  4. Step 4: Simplify right side
    27,542,274x = 1,806,117,487,430,481
  5. Step 5: Solve for x
    x = 1,806,117,487,430,481/27,542,274
  6. Step 6: Final answer
    x = 65,576,193.43

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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.