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Finding the Third Proportional to 8,251,004.25 and 17,921,928.38

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Solution

The third proportional to 8,251,004.25 and 17,921,928.38 is: 38,928,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,004.25 : 17,921,928.38 = 17,921,928.38 : x
  2. Step 2: Convert to fraction form
    8,251,004.25/17,921,928.38 = 17,921,928.38/x
  3. Step 3: Cross multiply
    8,251,004.25x = 17,921,928.38 × 17,921,928.38
  4. Step 4: Simplify right side
    8,251,004.25x = 321,195,516,678,630.12
  5. Step 5: Solve for x
    x = 321,195,516,678,630.12/8,251,004.25
  6. Step 6: Final answer
    x = 38,928,051.29

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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.