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Finding the Third Proportional to 6,424,654.50 and 13,873,469.06

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Solution

The third proportional to 6,424,654.50 and 13,873,469.06 is: 29,958,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,654.50 : 13,873,469.06 = 13,873,469.06 : x
  2. Step 2: Convert to fraction form
    6,424,654.50/13,873,469.06 = 13,873,469.06/x
  3. Step 3: Cross multiply
    6,424,654.50x = 13,873,469.06 × 13,873,469.06
  4. Step 4: Simplify right side
    6,424,654.50x = 192,473,143,828,144.62
  5. Step 5: Solve for x
    x = 192,473,143,828,144.62/6,424,654.50
  6. Step 6: Final answer
    x = 29,958,520.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.