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Finding the Third Proportional to 6,729,135.75 and 14,760,927

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Solution

The third proportional to 6,729,135.75 and 14,760,927 is: 32,379,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,135.75 : 14,760,927 = 14,760,927 : x
  2. Step 2: Convert to fraction form
    6,729,135.75/14,760,927 = 14,760,927/x
  3. Step 3: Cross multiply
    6,729,135.75x = 14,760,927 × 14,760,927
  4. Step 4: Simplify right side
    6,729,135.75x = 217,884,965,899,329
  5. Step 5: Solve for x
    x = 217,884,965,899,329/6,729,135.75
  6. Step 6: Final answer
    x = 32,379,338.74

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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.