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Finding the Third Proportional to 3,266,812,802 and 5,021,325,891

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Solution

The third proportional to 3,266,812,802 and 5,021,325,891 is: 7,718,138,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266,812,802 : 5,021,325,891 = 5,021,325,891 : x
  2. Step 2: Convert to fraction form
    3,266,812,802/5,021,325,891 = 5,021,325,891/x
  3. Step 3: Cross multiply
    3,266,812,802x = 5,021,325,891 × 5,021,325,891
  4. Step 4: Simplify right side
    3,266,812,802x = 25,213,713,703,626,944,512
  5. Step 5: Solve for x
    x = 25,213,713,703,626,944,512/3,266,812,802
  6. Step 6: Final answer
    x = 7,718,138,513.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.