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Finding the Third Proportional to 31,614,811.75 and 47,422,214.75

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Solution

The third proportional to 31,614,811.75 and 47,422,214.75 is: 71,133,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614,811.75 : 47,422,214.75 = 47,422,214.75 : x
  2. Step 2: Convert to fraction form
    31,614,811.75/47,422,214.75 = 47,422,214.75/x
  3. Step 3: Cross multiply
    31,614,811.75x = 47,422,214.75 × 47,422,214.75
  4. Step 4: Simplify right side
    31,614,811.75x = 2,248,866,451,795,117.50
  5. Step 5: Solve for x
    x = 2,248,866,451,795,117.50/31,614,811.75
  6. Step 6: Final answer
    x = 71,133,317.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.