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Finding the Third Proportional to 22,743,947.25 and 32,524,109.25

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Solution

The third proportional to 22,743,947.25 and 32,524,109.25 is: 46,509,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743,947.25 : 32,524,109.25 = 32,524,109.25 : x
  2. Step 2: Convert to fraction form
    22,743,947.25/32,524,109.25 = 32,524,109.25/x
  3. Step 3: Cross multiply
    22,743,947.25x = 32,524,109.25 × 32,524,109.25
  4. Step 4: Simplify right side
    22,743,947.25x = 1,057,817,682,505,935.50
  5. Step 5: Solve for x
    x = 1,057,817,682,505,935.50/22,743,947.25
  6. Step 6: Final answer
    x = 46,509,854.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.