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Finding the Third Proportional to 27,826,170 and 36,591,279

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Solution

The third proportional to 27,826,170 and 36,591,279 is: 48,117,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826,170 : 36,591,279 = 36,591,279 : x
  2. Step 2: Convert to fraction form
    27,826,170/36,591,279 = 36,591,279/x
  3. Step 3: Cross multiply
    27,826,170x = 36,591,279 × 36,591,279
  4. Step 4: Simplify right side
    27,826,170x = 1,338,921,698,855,841
  5. Step 5: Solve for x
    x = 1,338,921,698,855,841/27,826,170
  6. Step 6: Final answer
    x = 48,117,354.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.