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Finding the Third Proportional to 2,408,882,940 and 3,682,576,960

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Solution

The third proportional to 2,408,882,940 and 3,682,576,960 is: 5,629,735,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,882,940 : 3,682,576,960 = 3,682,576,960 : x
  2. Step 2: Convert to fraction form
    2,408,882,940/3,682,576,960 = 3,682,576,960/x
  3. Step 3: Cross multiply
    2,408,882,940x = 3,682,576,960 × 3,682,576,960
  4. Step 4: Simplify right side
    2,408,882,940x = 13,561,373,066,322,841,600
  5. Step 5: Solve for x
    x = 13,561,373,066,322,841,600/2,408,882,940
  6. Step 6: Final answer
    x = 5,629,735,194.32

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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.