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Finding the Third Proportional to 31,311,164.25 and 50,332,532.63

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Solution

The third proportional to 31,311,164.25 and 50,332,532.63 is: 80,909,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311,164.25 : 50,332,532.63 = 50,332,532.63 : x
  2. Step 2: Convert to fraction form
    31,311,164.25/50,332,532.63 = 50,332,532.63/x
  3. Step 3: Cross multiply
    31,311,164.25x = 50,332,532.63 × 50,332,532.63
  4. Step 4: Simplify right side
    31,311,164.25x = 2,533,363,840,446,689.50
  5. Step 5: Solve for x
    x = 2,533,363,840,446,689.50/31,311,164.25
  6. Step 6: Final answer
    x = 80,909,282.72

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