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Finding the Third Proportional to 18,641,400 and 25,185,744

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Solution

The third proportional to 18,641,400 and 25,185,744 is: 34,027,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,400 : 25,185,744 = 25,185,744 : x
  2. Step 2: Convert to fraction form
    18,641,400/25,185,744 = 25,185,744/x
  3. Step 3: Cross multiply
    18,641,400x = 25,185,744 × 25,185,744
  4. Step 4: Simplify right side
    18,641,400x = 634,321,700,833,536
  5. Step 5: Solve for x
    x = 634,321,700,833,536/18,641,400
  6. Step 6: Final answer
    x = 34,027,578.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.