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Finding the Third Proportional to 9,137,625 and 20,317,734

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Solution

The third proportional to 9,137,625 and 20,317,734 is: 45,176,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,625 : 20,317,734 = 20,317,734 : x
  2. Step 2: Convert to fraction form
    9,137,625/20,317,734 = 20,317,734/x
  3. Step 3: Cross multiply
    9,137,625x = 20,317,734 × 20,317,734
  4. Step 4: Simplify right side
    9,137,625x = 412,810,314,894,756
  5. Step 5: Solve for x
    x = 412,810,314,894,756/9,137,625
  6. Step 6: Final answer
    x = 45,176,981.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.