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Finding the Third Proportional to 5,321,198.81 and 11,672,505

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Solution

The third proportional to 5,321,198.81 and 11,672,505 is: 25,604,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,198.81 : 11,672,505 = 11,672,505 : x
  2. Step 2: Convert to fraction form
    5,321,198.81/11,672,505 = 11,672,505/x
  3. Step 3: Cross multiply
    5,321,198.81x = 11,672,505 × 11,672,505
  4. Step 4: Simplify right side
    5,321,198.81x = 136,247,372,975,025
  5. Step 5: Solve for x
    x = 136,247,372,975,025/5,321,198.81
  6. Step 6: Final answer
    x = 25,604,638.69

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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.