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Finding the Third Proportional to 659,479,951,206 and 1,428,467,322,828

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Solution

The third proportional to 659,479,951,206 and 1,428,467,322,828 is: 3,094,133,322,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,479,951,206 : 1,428,467,322,828 = 1,428,467,322,828 : x
  2. Step 2: Convert to fraction form
    659,479,951,206/1,428,467,322,828 = 1,428,467,322,828/x
  3. Step 3: Cross multiply
    659,479,951,206x = 1,428,467,322,828 × 1,428,467,322,828
  4. Step 4: Simplify right side
    659,479,951,206x = 2,040,518,892,387,393,651,867,648
  5. Step 5: Solve for x
    x = 2,040,518,892,387,393,651,867,648/659,479,951,206
  6. Step 6: Final answer
    x = 3,094,133,322,257.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.