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Finding the Third Proportional to 6,431,120 and 13,391,493

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Solution

The third proportional to 6,431,120 and 13,391,493 is: 27,885,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431,120 : 13,391,493 = 13,391,493 : x
  2. Step 2: Convert to fraction form
    6,431,120/13,391,493 = 13,391,493/x
  3. Step 3: Cross multiply
    6,431,120x = 13,391,493 × 13,391,493
  4. Step 4: Simplify right side
    6,431,120x = 179,332,084,769,049
  5. Step 5: Solve for x
    x = 179,332,084,769,049/6,431,120
  6. Step 6: Final answer
    x = 27,885,047.20

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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.