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Finding the Third Proportional to 383,578,147 and 827,028,793

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Solution

The third proportional to 383,578,147 and 827,028,793 is: 1,783,148,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,578,147 : 827,028,793 = 827,028,793 : x
  2. Step 2: Convert to fraction form
    383,578,147/827,028,793 = 827,028,793/x
  3. Step 3: Cross multiply
    383,578,147x = 827,028,793 × 827,028,793
  4. Step 4: Simplify right side
    383,578,147x = 683,976,624,451,036,800
  5. Step 5: Solve for x
    x = 683,976,624,451,036,800/383,578,147
  6. Step 6: Final answer
    x = 1,783,148,048.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.