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Finding the Third Proportional to 1,622,396,816 and 3,503,419,936

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Solution

The third proportional to 1,622,396,816 and 3,503,419,936 is: 7,565,320,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622,396,816 : 3,503,419,936 = 3,503,419,936 : x
  2. Step 2: Convert to fraction form
    1,622,396,816/3,503,419,936 = 3,503,419,936/x
  3. Step 3: Cross multiply
    1,622,396,816x = 3,503,419,936 × 3,503,419,936
  4. Step 4: Simplify right side
    1,622,396,816x = 12,273,951,247,962,243,072
  5. Step 5: Solve for x
    x = 12,273,951,247,962,243,072/1,622,396,816
  6. Step 6: Final answer
    x = 7,565,320,103.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.