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Finding the Third Proportional to 6,427,468 and 8,530,204

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Solution

The third proportional to 6,427,468 and 8,530,204 is: 11,320,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427,468 : 8,530,204 = 8,530,204 : x
  2. Step 2: Convert to fraction form
    6,427,468/8,530,204 = 8,530,204/x
  3. Step 3: Cross multiply
    6,427,468x = 8,530,204 × 8,530,204
  4. Step 4: Simplify right side
    6,427,468x = 72,764,380,281,616
  5. Step 5: Solve for x
    x = 72,764,380,281,616/6,427,468
  6. Step 6: Final answer
    x = 11,320,846.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.