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Finding the Third Proportional to 6,729,027 and 14,760,822

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Solution

The third proportional to 6,729,027 and 14,760,822 is: 32,379,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,027 : 14,760,822 = 14,760,822 : x
  2. Step 2: Convert to fraction form
    6,729,027/14,760,822 = 14,760,822/x
  3. Step 3: Cross multiply
    6,729,027x = 14,760,822 × 14,760,822
  4. Step 4: Simplify right side
    6,729,027x = 217,881,866,115,684
  5. Step 5: Solve for x
    x = 217,881,866,115,684/6,729,027
  6. Step 6: Final answer
    x = 32,379,401.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.