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Finding the Third Proportional to 5,338,186.03 and 8,082,142.03

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Solution

The third proportional to 5,338,186.03 and 8,082,142.03 is: 12,236,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,186.03 : 8,082,142.03 = 8,082,142.03 : x
  2. Step 2: Convert to fraction form
    5,338,186.03/8,082,142.03 = 8,082,142.03/x
  3. Step 3: Cross multiply
    5,338,186.03x = 8,082,142.03 × 8,082,142.03
  4. Step 4: Simplify right side
    5,338,186.03x = 65,321,019,813,297.88
  5. Step 5: Solve for x
    x = 65,321,019,813,297.88/5,338,186.03
  6. Step 6: Final answer
    x = 12,236,557.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.