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Finding the Third Proportional to 31,077,108 and 48,750,812

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Solution

The third proportional to 31,077,108 and 48,750,812 is: 76,475,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077,108 : 48,750,812 = 48,750,812 : x
  2. Step 2: Convert to fraction form
    31,077,108/48,750,812 = 48,750,812/x
  3. Step 3: Cross multiply
    31,077,108x = 48,750,812 × 48,750,812
  4. Step 4: Simplify right side
    31,077,108x = 2,376,641,670,659,344
  5. Step 5: Solve for x
    x = 2,376,641,670,659,344/31,077,108
  6. Step 6: Final answer
    x = 76,475,638.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.