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Finding the Third Proportional to 31,861,713 and 49,200,059.25

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Solution

The third proportional to 31,861,713 and 49,200,059.25 is: 75,973,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861,713 : 49,200,059.25 = 49,200,059.25 : x
  2. Step 2: Convert to fraction form
    31,861,713/49,200,059.25 = 49,200,059.25/x
  3. Step 3: Cross multiply
    31,861,713x = 49,200,059.25 × 49,200,059.25
  4. Step 4: Simplify right side
    31,861,713x = 2,420,645,830,203,510.50
  5. Step 5: Solve for x
    x = 2,420,645,830,203,510.50/31,861,713
  6. Step 6: Final answer
    x = 75,973,499.30

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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.