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Finding the Third Proportional to 9,149,818 and 12,198,375

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Solution

The third proportional to 9,149,818 and 12,198,375 is: 16,262,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,818 : 12,198,375 = 12,198,375 : x
  2. Step 2: Convert to fraction form
    9,149,818/12,198,375 = 12,198,375/x
  3. Step 3: Cross multiply
    9,149,818x = 12,198,375 × 12,198,375
  4. Step 4: Simplify right side
    9,149,818x = 148,800,352,640,625
  5. Step 5: Solve for x
    x = 148,800,352,640,625/9,149,818
  6. Step 6: Final answer
    x = 16,262,657.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.