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Finding the Third Proportional to 5,639,469.75 and 11,921,836.50

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Solution

The third proportional to 5,639,469.75 and 11,921,836.50 is: 25,202,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639,469.75 : 11,921,836.50 = 11,921,836.50 : x
  2. Step 2: Convert to fraction form
    5,639,469.75/11,921,836.50 = 11,921,836.50/x
  3. Step 3: Cross multiply
    5,639,469.75x = 11,921,836.50 × 11,921,836.50
  4. Step 4: Simplify right side
    5,639,469.75x = 142,130,185,532,732.25
  5. Step 5: Solve for x
    x = 142,130,185,532,732.25/5,639,469.75
  6. Step 6: Final answer
    x = 25,202,756.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.