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Finding the Third Proportional to 363,419,198.38 and 792,613,446.88

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Solution

The third proportional to 363,419,198.38 and 792,613,446.88 is: 1,728,681,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,419,198.38 : 792,613,446.88 = 792,613,446.88 : x
  2. Step 2: Convert to fraction form
    363,419,198.38/792,613,446.88 = 792,613,446.88/x
  3. Step 3: Cross multiply
    363,419,198.38x = 792,613,446.88 × 792,613,446.88
  4. Step 4: Simplify right side
    363,419,198.38x = 628,236,076,167,068,416
  5. Step 5: Solve for x
    x = 628,236,076,167,068,416/363,419,198.38
  6. Step 6: Final answer
    x = 1,728,681,585.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.