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Finding the Third Proportional to 22,751,475.75 and 32,192,641.13

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Solution

The third proportional to 22,751,475.75 and 32,192,641.13 is: 45,551,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751,475.75 : 32,192,641.13 = 32,192,641.13 : x
  2. Step 2: Convert to fraction form
    22,751,475.75/32,192,641.13 = 32,192,641.13/x
  3. Step 3: Cross multiply
    22,751,475.75x = 32,192,641.13 × 32,192,641.13
  4. Step 4: Simplify right side
    22,751,475.75x = 1,036,366,142,603,041.25
  5. Step 5: Solve for x
    x = 1,036,366,142,603,041.25/22,751,475.75
  6. Step 6: Final answer
    x = 45,551,600.87

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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.