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Finding the Third Proportional to 6,844,284 and 10,659,267

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Solution

The third proportional to 6,844,284 and 10,659,267 is: 16,600,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844,284 : 10,659,267 = 10,659,267 : x
  2. Step 2: Convert to fraction form
    6,844,284/10,659,267 = 10,659,267/x
  3. Step 3: Cross multiply
    6,844,284x = 10,659,267 × 10,659,267
  4. Step 4: Simplify right side
    6,844,284x = 113,619,972,977,289
  5. Step 5: Solve for x
    x = 113,619,972,977,289/6,844,284
  6. Step 6: Final answer
    x = 16,600,709.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.