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Finding the Third Proportional to 659,479,951,190 and 1,428,467,322,808

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Solution

The third proportional to 659,479,951,190 and 1,428,467,322,808 is: 3,094,133,322,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,479,951,190 : 1,428,467,322,808 = 1,428,467,322,808 : x
  2. Step 2: Convert to fraction form
    659,479,951,190/1,428,467,322,808 = 1,428,467,322,808/x
  3. Step 3: Cross multiply
    659,479,951,190x = 1,428,467,322,808 × 1,428,467,322,808
  4. Step 4: Simplify right side
    659,479,951,190x = 2,040,518,892,330,254,749,138,944
  5. Step 5: Solve for x
    x = 2,040,518,892,330,254,749,138,944/659,479,951,190
  6. Step 6: Final answer
    x = 3,094,133,322,246.17

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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.