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Finding the Third Proportional to 9,765,876 and 14,378,992

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Solution

The third proportional to 9,765,876 and 14,378,992 is: 21,171,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,876 : 14,378,992 = 14,378,992 : x
  2. Step 2: Convert to fraction form
    9,765,876/14,378,992 = 14,378,992/x
  3. Step 3: Cross multiply
    9,765,876x = 14,378,992 × 14,378,992
  4. Step 4: Simplify right side
    9,765,876x = 206,755,410,936,064
  5. Step 5: Solve for x
    x = 206,755,410,936,064/9,765,876
  6. Step 6: Final answer
    x = 21,171,209.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.