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Finding the Third Proportional to 659,479,951,188 and 1,428,467,322,804

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Solution

The third proportional to 659,479,951,188 and 1,428,467,322,804 is: 3,094,133,322,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,479,951,188 : 1,428,467,322,804 = 1,428,467,322,804 : x
  2. Step 2: Convert to fraction form
    659,479,951,188/1,428,467,322,804 = 1,428,467,322,804/x
  3. Step 3: Cross multiply
    659,479,951,188x = 1,428,467,322,804 × 1,428,467,322,804
  4. Step 4: Simplify right side
    659,479,951,188x = 2,040,518,892,318,827,183,341,568
  5. Step 5: Solve for x
    x = 2,040,518,892,318,827,183,341,568/659,479,951,188
  6. Step 6: Final answer
    x = 3,094,133,322,238.22

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Why These Related Problems?

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