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Finding the Third Proportional to 6,431,121 and 13,391,496

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Solution

The third proportional to 6,431,121 and 13,391,496 is: 27,885,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431,121 : 13,391,496 = 13,391,496 : x
  2. Step 2: Convert to fraction form
    6,431,121/13,391,496 = 13,391,496/x
  3. Step 3: Cross multiply
    6,431,121x = 13,391,496 × 13,391,496
  4. Step 4: Simplify right side
    6,431,121x = 179,332,165,118,016
  5. Step 5: Solve for x
    x = 179,332,165,118,016/6,431,121
  6. Step 6: Final answer
    x = 27,885,055.36

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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.