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Finding the Third Proportional to 3,508,000.31 and 5,247,694.69

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Solution

The third proportional to 3,508,000.31 and 5,247,694.69 is: 7,850,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508,000.31 : 5,247,694.69 = 5,247,694.69 : x
  2. Step 2: Convert to fraction form
    3,508,000.31/5,247,694.69 = 5,247,694.69/x
  3. Step 3: Cross multiply
    3,508,000.31x = 5,247,694.69 × 5,247,694.69
  4. Step 4: Simplify right side
    3,508,000.31x = 27,538,299,533,215.72
  5. Step 5: Solve for x
    x = 27,538,299,533,215.72/3,508,000.31
  6. Step 6: Final answer
    x = 7,850,141.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.