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Finding the Third Proportional to 998,322,318 and 2,135,126,424

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Solution

The third proportional to 998,322,318 and 2,135,126,424 is: 4,566,425,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,322,318 : 2,135,126,424 = 2,135,126,424 : x
  2. Step 2: Convert to fraction form
    998,322,318/2,135,126,424 = 2,135,126,424/x
  3. Step 3: Cross multiply
    998,322,318x = 2,135,126,424 × 2,135,126,424
  4. Step 4: Simplify right side
    998,322,318x = 4,558,764,846,463,027,712
  5. Step 5: Solve for x
    x = 4,558,764,846,463,027,712/998,322,318
  6. Step 6: Final answer
    x = 4,566,425,856.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.