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Finding the Third Proportional to 5,074,847.25 and 10,991,142

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Solution

The third proportional to 5,074,847.25 and 10,991,142 is: 23,804,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074,847.25 : 10,991,142 = 10,991,142 : x
  2. Step 2: Convert to fraction form
    5,074,847.25/10,991,142 = 10,991,142/x
  3. Step 3: Cross multiply
    5,074,847.25x = 10,991,142 × 10,991,142
  4. Step 4: Simplify right side
    5,074,847.25x = 120,805,202,464,164
  5. Step 5: Solve for x
    x = 120,805,202,464,164/5,074,847.25
  6. Step 6: Final answer
    x = 23,804,697.27

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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.