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Finding the Third Proportional to 6,425,474 and 13,383,652

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Solution

The third proportional to 6,425,474 and 13,383,652 is: 27,876,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,474 : 13,383,652 = 13,383,652 : x
  2. Step 2: Convert to fraction form
    6,425,474/13,383,652 = 13,383,652/x
  3. Step 3: Cross multiply
    6,425,474x = 13,383,652 × 13,383,652
  4. Step 4: Simplify right side
    6,425,474x = 179,122,140,857,104
  5. Step 5: Solve for x
    x = 179,122,140,857,104/6,425,474
  6. Step 6: Final answer
    x = 27,876,875.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.