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Finding the Third Proportional to 22,368,432 and 48,923,568

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Solution

The third proportional to 22,368,432 and 48,923,568 is: 107,004,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368,432 : 48,923,568 = 48,923,568 : x
  2. Step 2: Convert to fraction form
    22,368,432/48,923,568 = 48,923,568/x
  3. Step 3: Cross multiply
    22,368,432x = 48,923,568 × 48,923,568
  4. Step 4: Simplify right side
    22,368,432x = 2,393,515,505,850,624
  5. Step 5: Solve for x
    x = 2,393,515,505,850,624/22,368,432
  6. Step 6: Final answer
    x = 107,004,170.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.