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Finding the Third Proportional to 6,471,805.50 and 14,380,212

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Solution

The third proportional to 6,471,805.50 and 14,380,212 is: 31,952,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,805.50 : 14,380,212 = 14,380,212 : x
  2. Step 2: Convert to fraction form
    6,471,805.50/14,380,212 = 14,380,212/x
  3. Step 3: Cross multiply
    6,471,805.50x = 14,380,212 × 14,380,212
  4. Step 4: Simplify right side
    6,471,805.50x = 206,790,497,164,944
  5. Step 5: Solve for x
    x = 206,790,497,164,944/6,471,805.50
  6. Step 6: Final answer
    x = 31,952,520.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.