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Finding the Third Proportional to 8,189,829 and 12,846,330

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Solution

The third proportional to 8,189,829 and 12,846,330 is: 20,150,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189,829 : 12,846,330 = 12,846,330 : x
  2. Step 2: Convert to fraction form
    8,189,829/12,846,330 = 12,846,330/x
  3. Step 3: Cross multiply
    8,189,829x = 12,846,330 × 12,846,330
  4. Step 4: Simplify right side
    8,189,829x = 165,028,194,468,900
  5. Step 5: Solve for x
    x = 165,028,194,468,900/8,189,829
  6. Step 6: Final answer
    x = 20,150,383.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.