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Finding the Third Proportional to 809,006,682,121 and 1,760,431,129,749

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Solution

The third proportional to 809,006,682,121 and 1,760,431,129,749 is: 3,830,769,054,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,006,682,121 : 1,760,431,129,749 = 1,760,431,129,749 : x
  2. Step 2: Convert to fraction form
    809,006,682,121/1,760,431,129,749 = 1,760,431,129,749/x
  3. Step 3: Cross multiply
    809,006,682,121x = 1,760,431,129,749 × 1,760,431,129,749
  4. Step 4: Simplify right side
    809,006,682,121x = 3,099,117,762,589,340,607,709,184
  5. Step 5: Solve for x
    x = 3,099,117,762,589,340,607,709,184/809,006,682,121
  6. Step 6: Final answer
    x = 3,830,769,054,297.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.