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Finding the Third Proportional to 6,414,471 and 12,933,918

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Solution

The third proportional to 6,414,471 and 12,933,918 is: 26,079,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,471 : 12,933,918 = 12,933,918 : x
  2. Step 2: Convert to fraction form
    6,414,471/12,933,918 = 12,933,918/x
  3. Step 3: Cross multiply
    6,414,471x = 12,933,918 × 12,933,918
  4. Step 4: Simplify right side
    6,414,471x = 167,286,234,830,724
  5. Step 5: Solve for x
    x = 167,286,234,830,724/6,414,471
  6. Step 6: Final answer
    x = 26,079,505.98

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.