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Finding the Third Proportional to 27,432,279 and 41,013,918

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Solution

The third proportional to 27,432,279 and 41,013,918 is: 61,319,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432,279 : 41,013,918 = 41,013,918 : x
  2. Step 2: Convert to fraction form
    27,432,279/41,013,918 = 41,013,918/x
  3. Step 3: Cross multiply
    27,432,279x = 41,013,918 × 41,013,918
  4. Step 4: Simplify right side
    27,432,279x = 1,682,141,469,710,724
  5. Step 5: Solve for x
    x = 1,682,141,469,710,724/27,432,279
  6. Step 6: Final answer
    x = 61,319,785.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.