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Finding the Third Proportional to 5,206,525.59 and 11,213,147.67

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Solution

The third proportional to 5,206,525.59 and 11,213,147.67 is: 24,149,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,525.59 : 11,213,147.67 = 11,213,147.67 : x
  2. Step 2: Convert to fraction form
    5,206,525.59/11,213,147.67 = 11,213,147.67/x
  3. Step 3: Cross multiply
    5,206,525.59x = 11,213,147.67 × 11,213,147.67
  4. Step 4: Simplify right side
    5,206,525.59x = 125,734,680,711,275.73
  5. Step 5: Solve for x
    x = 125,734,680,711,275.73/5,206,525.59
  6. Step 6: Final answer
    x = 24,149,440.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.