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Finding the Third Proportional to 2,555,340.75 and 5,629,182.75

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Solution

The third proportional to 2,555,340.75 and 5,629,182.75 is: 12,400,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,340.75 : 5,629,182.75 = 5,629,182.75 : x
  2. Step 2: Convert to fraction form
    2,555,340.75/5,629,182.75 = 5,629,182.75/x
  3. Step 3: Cross multiply
    2,555,340.75x = 5,629,182.75 × 5,629,182.75
  4. Step 4: Simplify right side
    2,555,340.75x = 31,687,698,432,897.56
  5. Step 5: Solve for x
    x = 31,687,698,432,897.56/2,555,340.75
  6. Step 6: Final answer
    x = 12,400,576.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.