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Finding the Third Proportional to 2,648,138.06 and 5,614,074.56

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Solution

The third proportional to 2,648,138.06 and 5,614,074.56 is: 11,901,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,138.06 : 5,614,074.56 = 5,614,074.56 : x
  2. Step 2: Convert to fraction form
    2,648,138.06/5,614,074.56 = 5,614,074.56/x
  3. Step 3: Cross multiply
    2,648,138.06x = 5,614,074.56 × 5,614,074.56
  4. Step 4: Simplify right side
    2,648,138.06x = 31,517,833,193,309.57
  5. Step 5: Solve for x
    x = 31,517,833,193,309.57/2,648,138.06
  6. Step 6: Final answer
    x = 11,901,884.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.