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Finding the Third Proportional to 8,251,009.31 and 17,921,933.44

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Solution

The third proportional to 8,251,009.31 and 17,921,933.44 is: 38,928,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,009.31 : 17,921,933.44 = 17,921,933.44 : x
  2. Step 2: Convert to fraction form
    8,251,009.31/17,921,933.44 = 17,921,933.44/x
  3. Step 3: Cross multiply
    8,251,009.31x = 17,921,933.44 × 17,921,933.44
  4. Step 4: Simplify right side
    8,251,009.31x = 321,195,698,138,180.56
  5. Step 5: Solve for x
    x = 321,195,698,138,180.56/8,251,009.31
  6. Step 6: Final answer
    x = 38,928,049.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.