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Finding the Third Proportional to 5,507,208 and 7,741,660.50

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Solution

The third proportional to 5,507,208 and 7,741,660.50 is: 10,882,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507,208 : 7,741,660.50 = 7,741,660.50 : x
  2. Step 2: Convert to fraction form
    5,507,208/7,741,660.50 = 7,741,660.50/x
  3. Step 3: Cross multiply
    5,507,208x = 7,741,660.50 × 7,741,660.50
  4. Step 4: Simplify right side
    5,507,208x = 59,933,307,297,260.25
  5. Step 5: Solve for x
    x = 59,933,307,297,260.25/5,507,208
  6. Step 6: Final answer
    x = 10,882,702.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.