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Finding the Third Proportional to 67,528,800 and 137,444,112

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Solution

The third proportional to 67,528,800 and 137,444,112 is: 279,745,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,528,800 : 137,444,112 = 137,444,112 : x
  2. Step 2: Convert to fraction form
    67,528,800/137,444,112 = 137,444,112/x
  3. Step 3: Cross multiply
    67,528,800x = 137,444,112 × 137,444,112
  4. Step 4: Simplify right side
    67,528,800x = 18,890,883,923,468,544
  5. Step 5: Solve for x
    x = 18,890,883,923,468,544/67,528,800
  6. Step 6: Final answer
    x = 279,745,588.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.