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Finding the Third Proportional to 6,760,927 and 15,943,872

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Solution

The third proportional to 6,760,927 and 15,943,872 is: 37,599,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760,927 : 15,943,872 = 15,943,872 : x
  2. Step 2: Convert to fraction form
    6,760,927/15,943,872 = 15,943,872/x
  3. Step 3: Cross multiply
    6,760,927x = 15,943,872 × 15,943,872
  4. Step 4: Simplify right side
    6,760,927x = 254,207,054,352,384
  5. Step 5: Solve for x
    x = 254,207,054,352,384/6,760,927
  6. Step 6: Final answer
    x = 37,599,437.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.