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Finding the Third Proportional to 31,921,213.50 and 49,528,550.25

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Solution

The third proportional to 31,921,213.50 and 49,528,550.25 is: 76,847,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921,213.50 : 49,528,550.25 = 49,528,550.25 : x
  2. Step 2: Convert to fraction form
    31,921,213.50/49,528,550.25 = 49,528,550.25/x
  3. Step 3: Cross multiply
    31,921,213.50x = 49,528,550.25 × 49,528,550.25
  4. Step 4: Simplify right side
    31,921,213.50x = 2,453,077,289,866,775
  5. Step 5: Solve for x
    x = 2,453,077,289,866,775/31,921,213.50
  6. Step 6: Final answer
    x = 76,847,870.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.