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Finding the Third Proportional to 14,182,296 and 34,192,788

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Solution

The third proportional to 14,182,296 and 34,192,788 is: 82,437,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182,296 : 34,192,788 = 34,192,788 : x
  2. Step 2: Convert to fraction form
    14,182,296/34,192,788 = 34,192,788/x
  3. Step 3: Cross multiply
    14,182,296x = 34,192,788 × 34,192,788
  4. Step 4: Simplify right side
    14,182,296x = 1,169,146,751,212,944
  5. Step 5: Solve for x
    x = 1,169,146,751,212,944/14,182,296
  6. Step 6: Final answer
    x = 82,437,057.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.