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Finding the Third Proportional to 24,515,338.50 and 36,641,990.25

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Solution

The third proportional to 24,515,338.50 and 36,641,990.25 is: 54,767,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515,338.50 : 36,641,990.25 = 36,641,990.25 : x
  2. Step 2: Convert to fraction form
    24,515,338.50/36,641,990.25 = 36,641,990.25/x
  3. Step 3: Cross multiply
    24,515,338.50x = 36,641,990.25 × 36,641,990.25
  4. Step 4: Simplify right side
    24,515,338.50x = 1,342,635,449,481,095
  5. Step 5: Solve for x
    x = 1,342,635,449,481,095/24,515,338.50
  6. Step 6: Final answer
    x = 54,767,159.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.