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Finding the Third Proportional to 5,251,274,226 and 11,462,206,482

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Solution

The third proportional to 5,251,274,226 and 11,462,206,482 is: 25,019,104,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251,274,226 : 11,462,206,482 = 11,462,206,482 : x
  2. Step 2: Convert to fraction form
    5,251,274,226/11,462,206,482 = 11,462,206,482/x
  3. Step 3: Cross multiply
    5,251,274,226x = 11,462,206,482 × 11,462,206,482
  4. Step 4: Simplify right side
    5,251,274,226x = 131,382,177,436,002,811,904
  5. Step 5: Solve for x
    x = 131,382,177,436,002,811,904/5,251,274,226
  6. Step 6: Final answer
    x = 25,019,104,274.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.