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Finding the Third Proportional to 5,146,107.75 and 11,188,611

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Solution

The third proportional to 5,146,107.75 and 11,188,611 is: 24,326,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,107.75 : 11,188,611 = 11,188,611 : x
  2. Step 2: Convert to fraction form
    5,146,107.75/11,188,611 = 11,188,611/x
  3. Step 3: Cross multiply
    5,146,107.75x = 11,188,611 × 11,188,611
  4. Step 4: Simplify right side
    5,146,107.75x = 125,185,016,109,321
  5. Step 5: Solve for x
    x = 125,185,016,109,321/5,146,107.75
  6. Step 6: Final answer
    x = 24,326,155.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.