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Finding the Third Proportional to 4,373,650.69 and 9,543,232.69

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Solution

The third proportional to 4,373,650.69 and 9,543,232.69 is: 20,823,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,373,650.69 : 9,543,232.69 = 9,543,232.69 : x
  2. Step 2: Convert to fraction form
    4,373,650.69/9,543,232.69 = 9,543,232.69/x
  3. Step 3: Cross multiply
    4,373,650.69x = 9,543,232.69 × 9,543,232.69
  4. Step 4: Simplify right side
    4,373,650.69x = 91,073,290,127,768.47
  5. Step 5: Solve for x
    x = 91,073,290,127,768.47/4,373,650.69
  6. Step 6: Final answer
    x = 20,823,174.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.