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Finding the Third Proportional to 31,984,464.94 and 49,131,615.66

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Solution

The third proportional to 31,984,464.94 and 49,131,615.66 is: 75,471,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,464.94 : 49,131,615.66 = 49,131,615.66 : x
  2. Step 2: Convert to fraction form
    31,984,464.94/49,131,615.66 = 49,131,615.66/x
  3. Step 3: Cross multiply
    31,984,464.94x = 49,131,615.66 × 49,131,615.66
  4. Step 4: Simplify right side
    31,984,464.94x = 2,413,915,656,993,470
  5. Step 5: Solve for x
    x = 2,413,915,656,993,470/31,984,464.94
  6. Step 6: Final answer
    x = 75,471,503.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.