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Finding the Third Proportional to 1,396,337,185.50 and 2,082,396,906

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Solution

The third proportional to 1,396,337,185.50 and 2,082,396,906 is: 3,105,537,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,337,185.50 : 2,082,396,906 = 2,082,396,906 : x
  2. Step 2: Convert to fraction form
    1,396,337,185.50/2,082,396,906 = 2,082,396,906/x
  3. Step 3: Cross multiply
    1,396,337,185.50x = 2,082,396,906 × 2,082,396,906
  4. Step 4: Simplify right side
    1,396,337,185.50x = 4,336,376,874,118,372,864
  5. Step 5: Solve for x
    x = 4,336,376,874,118,372,864/1,396,337,185.50
  6. Step 6: Final answer
    x = 3,105,537,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.