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Finding the Third Proportional to 1,214,619,796,649 and 2,529,772,956,463

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Solution

The third proportional to 1,214,619,796,649 and 2,529,772,956,463 is: 5,268,933,726,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,619,796,649 : 2,529,772,956,463 = 2,529,772,956,463 : x
  2. Step 2: Convert to fraction form
    1,214,619,796,649/2,529,772,956,463 = 2,529,772,956,463/x
  3. Step 3: Cross multiply
    1,214,619,796,649x = 2,529,772,956,463 × 2,529,772,956,463
  4. Step 4: Simplify right side
    1,214,619,796,649x = 6,399,751,211,251,548,192,505,856
  5. Step 5: Solve for x
    x = 6,399,751,211,251,548,192,505,856/1,214,619,796,649
  6. Step 6: Final answer
    x = 5,268,933,726,346.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.