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Finding the Third Proportional to 8,378,340 and 12,811,192

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Solution

The third proportional to 8,378,340 and 12,811,192 is: 19,589,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,340 : 12,811,192 = 12,811,192 : x
  2. Step 2: Convert to fraction form
    8,378,340/12,811,192 = 12,811,192/x
  3. Step 3: Cross multiply
    8,378,340x = 12,811,192 × 12,811,192
  4. Step 4: Simplify right side
    8,378,340x = 164,126,640,460,864
  5. Step 5: Solve for x
    x = 164,126,640,460,864/8,378,340
  6. Step 6: Final answer
    x = 19,589,398.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.