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Finding the Third Proportional to 2,648,238.75 and 5,614,260.75

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Solution

The third proportional to 2,648,238.75 and 5,614,260.75 is: 11,902,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,238.75 : 5,614,260.75 = 5,614,260.75 : x
  2. Step 2: Convert to fraction form
    2,648,238.75/5,614,260.75 = 5,614,260.75/x
  3. Step 3: Cross multiply
    2,648,238.75x = 5,614,260.75 × 5,614,260.75
  4. Step 4: Simplify right side
    2,648,238.75x = 31,519,923,768,990.56
  5. Step 5: Solve for x
    x = 31,519,923,768,990.56/2,648,238.75
  6. Step 6: Final answer
    x = 11,902,221.34

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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.