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Finding the Third Proportional to 5,507,157.38 and 7,741,596.38

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Solution

The third proportional to 5,507,157.38 and 7,741,596.38 is: 10,882,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507,157.38 : 7,741,596.38 = 7,741,596.38 : x
  2. Step 2: Convert to fraction form
    5,507,157.38/7,741,596.38 = 7,741,596.38/x
  3. Step 3: Cross multiply
    5,507,157.38x = 7,741,596.38 × 7,741,596.38
  4. Step 4: Simplify right side
    5,507,157.38x = 59,932,314,433,413.14
  5. Step 5: Solve for x
    x = 59,932,314,433,413.14/5,507,157.38
  6. Step 6: Final answer
    x = 10,882,622.44

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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.