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Finding the Third Proportional to 27,546,774 and 41,176,223

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Solution

The third proportional to 27,546,774 and 41,176,223 is: 61,549,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546,774 : 41,176,223 = 41,176,223 : x
  2. Step 2: Convert to fraction form
    27,546,774/41,176,223 = 41,176,223/x
  3. Step 3: Cross multiply
    27,546,774x = 41,176,223 × 41,176,223
  4. Step 4: Simplify right side
    27,546,774x = 1,695,481,340,545,729
  5. Step 5: Solve for x
    x = 1,695,481,340,545,729/27,546,774
  6. Step 6: Final answer
    x = 61,549,179.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.