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Finding the Third Proportional to 6,481,800 and 14,129,928

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Solution

The third proportional to 6,481,800 and 14,129,928 is: 30,802,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,800 : 14,129,928 = 14,129,928 : x
  2. Step 2: Convert to fraction form
    6,481,800/14,129,928 = 14,129,928/x
  3. Step 3: Cross multiply
    6,481,800x = 14,129,928 × 14,129,928
  4. Step 4: Simplify right side
    6,481,800x = 199,654,865,285,184
  5. Step 5: Solve for x
    x = 199,654,865,285,184/6,481,800
  6. Step 6: Final answer
    x = 30,802,379.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.