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Finding the Third Proportional to 27,488,206 and 54,282,565

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Solution

The third proportional to 27,488,206 and 54,282,565 is: 107,194,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488,206 : 54,282,565 = 54,282,565 : x
  2. Step 2: Convert to fraction form
    27,488,206/54,282,565 = 54,282,565/x
  3. Step 3: Cross multiply
    27,488,206x = 54,282,565 × 54,282,565
  4. Step 4: Simplify right side
    27,488,206x = 2,946,596,862,979,225
  5. Step 5: Solve for x
    x = 2,946,596,862,979,225/27,488,206
  6. Step 6: Final answer
    x = 107,194,949.83

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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.