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Finding the Third Proportional to 13,532,873.50 and 31,935,163.75

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Solution

The third proportional to 13,532,873.50 and 31,935,163.75 is: 75,361,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532,873.50 : 31,935,163.75 = 31,935,163.75 : x
  2. Step 2: Convert to fraction form
    13,532,873.50/31,935,163.75 = 31,935,163.75/x
  3. Step 3: Cross multiply
    13,532,873.50x = 31,935,163.75 × 31,935,163.75
  4. Step 4: Simplify right side
    13,532,873.50x = 1,019,854,683,739,314
  5. Step 5: Solve for x
    x = 1,019,854,683,739,314/13,532,873.50
  6. Step 6: Final answer
    x = 75,361,281.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.