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Finding the Third Proportional to 31,077,105.75 and 48,750,808.50

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Solution

The third proportional to 31,077,105.75 and 48,750,808.50 is: 76,475,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077,105.75 : 48,750,808.50 = 48,750,808.50 : x
  2. Step 2: Convert to fraction form
    31,077,105.75/48,750,808.50 = 48,750,808.50/x
  3. Step 3: Cross multiply
    31,077,105.75x = 48,750,808.50 × 48,750,808.50
  4. Step 4: Simplify right side
    31,077,105.75x = 2,376,641,329,403,672
  5. Step 5: Solve for x
    x = 2,376,641,329,403,672/31,077,105.75
  6. Step 6: Final answer
    x = 76,475,632.85

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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.