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Finding the Third Proportional to 351,406,919,182 and 494,858,378,035

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Solution

The third proportional to 351,406,919,182 and 494,858,378,035 is: 696,869,642,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,406,919,182 : 494,858,378,035 = 494,858,378,035 : x
  2. Step 2: Convert to fraction form
    351,406,919,182/494,858,378,035 = 494,858,378,035/x
  3. Step 3: Cross multiply
    351,406,919,182x = 494,858,378,035 × 494,858,378,035
  4. Step 4: Simplify right side
    351,406,919,182x = 244,884,814,311,430,981,419,008
  5. Step 5: Solve for x
    x = 244,884,814,311,430,981,419,008/351,406,919,182
  6. Step 6: Final answer
    x = 696,869,642,981.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.