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Finding the Third Proportional to 1,304,923,662 and 1,976,338,233

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Solution

The third proportional to 1,304,923,662 and 1,976,338,233 is: 2,993,211,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,923,662 : 1,976,338,233 = 1,976,338,233 : x
  2. Step 2: Convert to fraction form
    1,304,923,662/1,976,338,233 = 1,976,338,233/x
  3. Step 3: Cross multiply
    1,304,923,662x = 1,976,338,233 × 1,976,338,233
  4. Step 4: Simplify right side
    1,304,923,662x = 3,905,912,811,217,562,112
  5. Step 5: Solve for x
    x = 3,905,912,811,217,562,112/1,304,923,662
  6. Step 6: Final answer
    x = 2,993,211,729.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.