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Finding the Third Proportional to 31,311,163.50 and 50,332,531.50

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Solution

The third proportional to 31,311,163.50 and 50,332,531.50 is: 80,909,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311,163.50 : 50,332,531.50 = 50,332,531.50 : x
  2. Step 2: Convert to fraction form
    31,311,163.50/50,332,531.50 = 50,332,531.50/x
  3. Step 3: Cross multiply
    31,311,163.50x = 50,332,531.50 × 50,332,531.50
  4. Step 4: Simplify right side
    31,311,163.50x = 2,533,363,727,198,492
  5. Step 5: Solve for x
    x = 2,533,363,727,198,492/31,311,163.50
  6. Step 6: Final answer
    x = 80,909,281.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.