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Finding the Third Proportional to 9,753,912 and 14,489,568

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Solution

The third proportional to 9,753,912 and 14,489,568 is: 21,524,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753,912 : 14,489,568 = 14,489,568 : x
  2. Step 2: Convert to fraction form
    9,753,912/14,489,568 = 14,489,568/x
  3. Step 3: Cross multiply
    9,753,912x = 14,489,568 × 14,489,568
  4. Step 4: Simplify right side
    9,753,912x = 209,947,580,826,624
  5. Step 5: Solve for x
    x = 209,947,580,826,624/9,753,912
  6. Step 6: Final answer
    x = 21,524,448.94

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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.