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Finding the Third Proportional to 9,753,876 and 14,489,610

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Solution

The third proportional to 9,753,876 and 14,489,610 is: 21,524,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753,876 : 14,489,610 = 14,489,610 : x
  2. Step 2: Convert to fraction form
    9,753,876/14,489,610 = 14,489,610/x
  3. Step 3: Cross multiply
    9,753,876x = 14,489,610 × 14,489,610
  4. Step 4: Simplify right side
    9,753,876x = 209,948,797,952,100
  5. Step 5: Solve for x
    x = 209,948,797,952,100/9,753,876
  6. Step 6: Final answer
    x = 21,524,653.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.