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Finding the Third Proportional to 3,601,474.31 and 5,493,678.19

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Solution

The third proportional to 3,601,474.31 and 5,493,678.19 is: 8,380,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601,474.31 : 5,493,678.19 = 5,493,678.19 : x
  2. Step 2: Convert to fraction form
    3,601,474.31/5,493,678.19 = 5,493,678.19/x
  3. Step 3: Cross multiply
    3,601,474.31x = 5,493,678.19 × 5,493,678.19
  4. Step 4: Simplify right side
    3,601,474.31x = 30,180,500,027,813.29
  5. Step 5: Solve for x
    x = 30,180,500,027,813.29/3,601,474.31
  6. Step 6: Final answer
    x = 8,380,040.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.