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Finding the Third Proportional to 27,488,203.50 and 54,282,561

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Solution

The third proportional to 27,488,203.50 and 54,282,561 is: 107,194,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488,203.50 : 54,282,561 = 54,282,561 : x
  2. Step 2: Convert to fraction form
    27,488,203.50/54,282,561 = 54,282,561/x
  3. Step 3: Cross multiply
    27,488,203.50x = 54,282,561 × 54,282,561
  4. Step 4: Simplify right side
    27,488,203.50x = 2,946,596,428,718,721
  5. Step 5: Solve for x
    x = 2,946,596,428,718,721/27,488,203.50
  6. Step 6: Final answer
    x = 107,194,943.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.