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Finding the Third Proportional to 5,510,020.57 and 12,866,826.27

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Solution

The third proportional to 5,510,020.57 and 12,866,826.27 is: 30,046,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510,020.57 : 12,866,826.27 = 12,866,826.27 : x
  2. Step 2: Convert to fraction form
    5,510,020.57/12,866,826.27 = 12,866,826.27/x
  3. Step 3: Cross multiply
    5,510,020.57x = 12,866,826.27 × 12,866,826.27
  4. Step 4: Simplify right side
    5,510,020.57x = 165,555,218,250,293.03
  5. Step 5: Solve for x
    x = 165,555,218,250,293.03/5,510,020.57
  6. Step 6: Final answer
    x = 30,046,206.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.