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Finding the Third Proportional to 24,439,097.25 and 33,665,118.75

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Solution

The third proportional to 24,439,097.25 and 33,665,118.75 is: 46,374,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439,097.25 : 33,665,118.75 = 33,665,118.75 : x
  2. Step 2: Convert to fraction form
    24,439,097.25/33,665,118.75 = 33,665,118.75/x
  3. Step 3: Cross multiply
    24,439,097.25x = 33,665,118.75 × 33,665,118.75
  4. Step 4: Simplify right side
    24,439,097.25x = 1,133,340,220,451,601.50
  5. Step 5: Solve for x
    x = 1,133,340,220,451,601.50/24,439,097.25
  6. Step 6: Final answer
    x = 46,374,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.