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Finding the Third Proportional to 2,192,333,661 and 5,115,621,861

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Solution

The third proportional to 2,192,333,661 and 5,115,621,861 is: 11,936,863,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,333,661 : 5,115,621,861 = 5,115,621,861 : x
  2. Step 2: Convert to fraction form
    2,192,333,661/5,115,621,861 = 5,115,621,861/x
  3. Step 3: Cross multiply
    2,192,333,661x = 5,115,621,861 × 5,115,621,861
  4. Step 4: Simplify right side
    2,192,333,661x = 26,169,587,024,741,101,568
  5. Step 5: Solve for x
    x = 26,169,587,024,741,101,568/2,192,333,661
  6. Step 6: Final answer
    x = 11,936,863,211.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.