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Finding the Third Proportional to 9,149,784 and 12,198,324

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Solution

The third proportional to 9,149,784 and 12,198,324 is: 16,262,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,784 : 12,198,324 = 12,198,324 : x
  2. Step 2: Convert to fraction form
    9,149,784/12,198,324 = 12,198,324/x
  3. Step 3: Cross multiply
    9,149,784x = 12,198,324 × 12,198,324
  4. Step 4: Simplify right side
    9,149,784x = 148,799,108,408,976
  5. Step 5: Solve for x
    x = 148,799,108,408,976/9,149,784
  6. Step 6: Final answer
    x = 16,262,581.54

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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.