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Finding the Third Proportional to 7,768,631 and 11,760,866

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Solution

The third proportional to 7,768,631 and 11,760,866 is: 17,804,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,631 : 11,760,866 = 11,760,866 : x
  2. Step 2: Convert to fraction form
    7,768,631/11,760,866 = 11,760,866/x
  3. Step 3: Cross multiply
    7,768,631x = 11,760,866 × 11,760,866
  4. Step 4: Simplify right side
    7,768,631x = 138,317,969,069,956
  5. Step 5: Solve for x
    x = 138,317,969,069,956/7,768,631
  6. Step 6: Final answer
    x = 17,804,677.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.