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Finding the Third Proportional to 2,408,882,942 and 3,682,576,963

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Solution

The third proportional to 2,408,882,942 and 3,682,576,963 is: 5,629,735,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,882,942 : 3,682,576,963 = 3,682,576,963 : x
  2. Step 2: Convert to fraction form
    2,408,882,942/3,682,576,963 = 3,682,576,963/x
  3. Step 3: Cross multiply
    2,408,882,942x = 3,682,576,963 × 3,682,576,963
  4. Step 4: Simplify right side
    2,408,882,942x = 13,561,373,088,418,304,000
  5. Step 5: Solve for x
    x = 13,561,373,088,418,304,000/2,408,882,942
  6. Step 6: Final answer
    x = 5,629,735,198.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.