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Finding the Third Proportional to 7,172,727,744 and 11,250,873,824

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Solution

The third proportional to 7,172,727,744 and 11,250,873,824 is: 17,647,702,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172,727,744 : 11,250,873,824 = 11,250,873,824 : x
  2. Step 2: Convert to fraction form
    7,172,727,744/11,250,873,824 = 11,250,873,824/x
  3. Step 3: Cross multiply
    7,172,727,744x = 11,250,873,824 × 11,250,873,824
  4. Step 4: Simplify right side
    7,172,727,744x = 126,582,161,803,568,381,952
  5. Step 5: Solve for x
    x = 126,582,161,803,568,381,952/7,172,727,744
  6. Step 6: Final answer
    x = 17,647,702,007.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.