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Finding the Third Proportional to 396,336,998 and 828,811,984

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Solution

The third proportional to 396,336,998 and 828,811,984 is: 1,733,195,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,998 : 828,811,984 = 828,811,984 : x
  2. Step 2: Convert to fraction form
    396,336,998/828,811,984 = 828,811,984/x
  3. Step 3: Cross multiply
    396,336,998x = 828,811,984 × 828,811,984
  4. Step 4: Simplify right side
    396,336,998x = 686,929,304,822,016,256
  5. Step 5: Solve for x
    x = 686,929,304,822,016,256/396,336,998
  6. Step 6: Final answer
    x = 1,733,195,003.97

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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.