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Finding the Third Proportional to 2,472,732 and 5,272,080.75

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Solution

The third proportional to 2,472,732 and 5,272,080.75 is: 11,240,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,732 : 5,272,080.75 = 5,272,080.75 : x
  2. Step 2: Convert to fraction form
    2,472,732/5,272,080.75 = 5,272,080.75/x
  3. Step 3: Cross multiply
    2,472,732x = 5,272,080.75 × 5,272,080.75
  4. Step 4: Simplify right side
    2,472,732x = 27,794,835,434,520.56
  5. Step 5: Solve for x
    x = 27,794,835,434,520.56/2,472,732
  6. Step 6: Final answer
    x = 11,240,536.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.