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Finding the Third Proportional to 866,106,868 and 2,020,985,866

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Solution

The third proportional to 866,106,868 and 2,020,985,866 is: 4,715,796,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,106,868 : 2,020,985,866 = 2,020,985,866 : x
  2. Step 2: Convert to fraction form
    866,106,868/2,020,985,866 = 2,020,985,866/x
  3. Step 3: Cross multiply
    866,106,868x = 2,020,985,866 × 2,020,985,866
  4. Step 4: Simplify right side
    866,106,868x = 4,084,383,870,571,769,856
  5. Step 5: Solve for x
    x = 4,084,383,870,571,769,856/866,106,868
  6. Step 6: Final answer
    x = 4,715,796,654.52

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.