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Finding the Third Proportional to 22,751,530 and 32,192,716.50

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Solution

The third proportional to 22,751,530 and 32,192,716.50 is: 45,551,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751,530 : 32,192,716.50 = 32,192,716.50 : x
  2. Step 2: Convert to fraction form
    22,751,530/32,192,716.50 = 32,192,716.50/x
  3. Step 3: Cross multiply
    22,751,530x = 32,192,716.50 × 32,192,716.50
  4. Step 4: Simplify right side
    22,751,530x = 1,036,370,995,649,372.25
  5. Step 5: Solve for x
    x = 1,036,370,995,649,372.25/22,751,530
  6. Step 6: Final answer
    x = 45,551,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.