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Finding the Third Proportional to 6,227,839 and 8,383,903

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Solution

The third proportional to 6,227,839 and 8,383,903 is: 11,286,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227,839 : 8,383,903 = 8,383,903 : x
  2. Step 2: Convert to fraction form
    6,227,839/8,383,903 = 8,383,903/x
  3. Step 3: Cross multiply
    6,227,839x = 8,383,903 × 8,383,903
  4. Step 4: Simplify right side
    6,227,839x = 70,289,829,513,409
  5. Step 5: Solve for x
    x = 70,289,829,513,409/6,227,839
  6. Step 6: Final answer
    x = 11,286,391.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.