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Finding the Third Proportional to 31,984,274.25 and 49,131,353.25

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Solution

The third proportional to 31,984,274.25 and 49,131,353.25 is: 75,471,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,274.25 : 49,131,353.25 = 49,131,353.25 : x
  2. Step 2: Convert to fraction form
    31,984,274.25/49,131,353.25 = 49,131,353.25/x
  3. Step 3: Cross multiply
    31,984,274.25x = 49,131,353.25 × 49,131,353.25
  4. Step 4: Simplify right side
    31,984,274.25x = 2,413,889,872,176,285.50
  5. Step 5: Solve for x
    x = 2,413,889,872,176,285.50/31,984,274.25
  6. Step 6: Final answer
    x = 75,471,147.27

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Why These Related Problems?

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