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Finding the Third Proportional to 1,360,419,512 and 2,040,274,964.50

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Solution

The third proportional to 1,360,419,512 and 2,040,274,964.50 is: 3,059,881,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,419,512 : 2,040,274,964.50 = 2,040,274,964.50 : x
  2. Step 2: Convert to fraction form
    1,360,419,512/2,040,274,964.50 = 2,040,274,964.50/x
  3. Step 3: Cross multiply
    1,360,419,512x = 2,040,274,964.50 × 2,040,274,964.50
  4. Step 4: Simplify right side
    1,360,419,512x = 4,162,721,930,765,476,352
  5. Step 5: Solve for x
    x = 4,162,721,930,765,476,352/1,360,419,512
  6. Step 6: Final answer
    x = 3,059,881,083.77

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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.