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Finding the Third Proportional to 6,410,194.25 and 9,912,278

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Solution

The third proportional to 6,410,194.25 and 9,912,278 is: 15,327,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,194.25 : 9,912,278 = 9,912,278 : x
  2. Step 2: Convert to fraction form
    6,410,194.25/9,912,278 = 9,912,278/x
  3. Step 3: Cross multiply
    6,410,194.25x = 9,912,278 × 9,912,278
  4. Step 4: Simplify right side
    6,410,194.25x = 98,253,255,149,284
  5. Step 5: Solve for x
    x = 98,253,255,149,284/6,410,194.25
  6. Step 6: Final answer
    x = 15,327,656.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.