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Finding the Third Proportional to 31,927,975 and 49,328,193

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Solution

The third proportional to 31,927,975 and 49,328,193 is: 76,211,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,927,975 : 49,328,193 = 49,328,193 : x
  2. Step 2: Convert to fraction form
    31,927,975/49,328,193 = 49,328,193/x
  3. Step 3: Cross multiply
    31,927,975x = 49,328,193 × 49,328,193
  4. Step 4: Simplify right side
    31,927,975x = 2,433,270,624,645,249
  5. Step 5: Solve for x
    x = 2,433,270,624,645,249/31,927,975
  6. Step 6: Final answer
    x = 76,211,241.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.