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Finding the Third Proportional to 24,021,874.50 and 49,747,216.50

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Solution

The third proportional to 24,021,874.50 and 49,747,216.50 is: 103,022,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021,874.50 : 49,747,216.50 = 49,747,216.50 : x
  2. Step 2: Convert to fraction form
    24,021,874.50/49,747,216.50 = 49,747,216.50/x
  3. Step 3: Cross multiply
    24,021,874.50x = 49,747,216.50 × 49,747,216.50
  4. Step 4: Simplify right side
    24,021,874.50x = 2,474,785,549,497,872
  5. Step 5: Solve for x
    x = 2,474,785,549,497,872/24,021,874.50
  6. Step 6: Final answer
    x = 103,022,166.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.