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Finding the Third Proportional to 441,910,022 and 664,710,007

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Solution

The third proportional to 441,910,022 and 664,710,007 is: 999,840,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,910,022 : 664,710,007 = 664,710,007 : x
  2. Step 2: Convert to fraction form
    441,910,022/664,710,007 = 664,710,007/x
  3. Step 3: Cross multiply
    441,910,022x = 664,710,007 × 664,710,007
  4. Step 4: Simplify right side
    441,910,022x = 441,839,393,405,940,032
  5. Step 5: Solve for x
    x = 441,839,393,405,940,032/441,910,022
  6. Step 6: Final answer
    x = 999,840,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.