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Finding the Third Proportional to 5,321,538 and 11,673,234

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Solution

The third proportional to 5,321,538 and 11,673,234 is: 25,606,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,538 : 11,673,234 = 11,673,234 : x
  2. Step 2: Convert to fraction form
    5,321,538/11,673,234 = 11,673,234/x
  3. Step 3: Cross multiply
    5,321,538x = 11,673,234 × 11,673,234
  4. Step 4: Simplify right side
    5,321,538x = 136,264,392,018,756
  5. Step 5: Solve for x
    x = 136,264,392,018,756/5,321,538
  6. Step 6: Final answer
    x = 25,606,204.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.