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Finding the Third Proportional to 5,159,713.92 and 11,227,383.11

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Solution

The third proportional to 5,159,713.92 and 11,227,383.11 is: 24,430,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159,713.92 : 11,227,383.11 = 11,227,383.11 : x
  2. Step 2: Convert to fraction form
    5,159,713.92/11,227,383.11 = 11,227,383.11/x
  3. Step 3: Cross multiply
    5,159,713.92x = 11,227,383.11 × 11,227,383.11
  4. Step 4: Simplify right side
    5,159,713.92x = 126,054,131,396,970.72
  5. Step 5: Solve for x
    x = 126,054,131,396,970.72/5,159,713.92
  6. Step 6: Final answer
    x = 24,430,449.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.