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Finding the Third Proportional to 5,380,914.16 and 8,171,016.43

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Solution

The third proportional to 5,380,914.16 and 8,171,016.43 is: 12,407,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,914.16 : 8,171,016.43 = 8,171,016.43 : x
  2. Step 2: Convert to fraction form
    5,380,914.16/8,171,016.43 = 8,171,016.43/x
  3. Step 3: Cross multiply
    5,380,914.16x = 8,171,016.43 × 8,171,016.43
  4. Step 4: Simplify right side
    5,380,914.16x = 66,765,509,558,059.95
  5. Step 5: Solve for x
    x = 66,765,509,558,059.95/5,380,914.16
  6. Step 6: Final answer
    x = 12,407,837.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.