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Finding the Third Proportional to 37,011,163.50 and 80,193,955.50

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Solution

The third proportional to 37,011,163.50 and 80,193,955.50 is: 173,760,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,011,163.50 : 80,193,955.50 = 80,193,955.50 : x
  2. Step 2: Convert to fraction form
    37,011,163.50/80,193,955.50 = 80,193,955.50/x
  3. Step 3: Cross multiply
    37,011,163.50x = 80,193,955.50 × 80,193,955.50
  4. Step 4: Simplify right side
    37,011,163.50x = 6,431,070,498,735,980
  5. Step 5: Solve for x
    x = 6,431,070,498,735,980/37,011,163.50
  6. Step 6: Final answer
    x = 173,760,289.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.