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Finding the Third Proportional to 809,006,682,123 and 1,760,431,129,751

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Solution

The third proportional to 809,006,682,123 and 1,760,431,129,751 is: 3,830,769,054,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,006,682,123 : 1,760,431,129,751 = 1,760,431,129,751 : x
  2. Step 2: Convert to fraction form
    809,006,682,123/1,760,431,129,751 = 1,760,431,129,751/x
  3. Step 3: Cross multiply
    809,006,682,123x = 1,760,431,129,751 × 1,760,431,129,751
  4. Step 4: Simplify right side
    809,006,682,123x = 3,099,117,762,596,382,206,590,976
  5. Step 5: Solve for x
    x = 3,099,117,762,596,382,206,590,976/809,006,682,123
  6. Step 6: Final answer
    x = 3,830,769,054,297.13

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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.