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Finding the Third Proportional to 396,337,003 and 828,811,994

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Solution

The third proportional to 396,337,003 and 828,811,994 is: 1,733,195,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,337,003 : 828,811,994 = 828,811,994 : x
  2. Step 2: Convert to fraction form
    396,337,003/828,811,994 = 828,811,994/x
  3. Step 3: Cross multiply
    396,337,003x = 828,811,994 × 828,811,994
  4. Step 4: Simplify right side
    396,337,003x = 686,929,321,398,256,000
  5. Step 5: Solve for x
    x = 686,929,321,398,256,000/396,337,003
  6. Step 6: Final answer
    x = 1,733,195,023.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.