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Finding the Third Proportional to 11,518,199,608 and 17,201,821,627

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Solution

The third proportional to 11,518,199,608 and 17,201,821,627 is: 25,690,010,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518,199,608 : 17,201,821,627 = 17,201,821,627 : x
  2. Step 2: Convert to fraction form
    11,518,199,608/17,201,821,627 = 17,201,821,627/x
  3. Step 3: Cross multiply
    11,518,199,608x = 17,201,821,627 × 17,201,821,627
  4. Step 4: Simplify right side
    11,518,199,608x = 295,902,667,287,124,901,888
  5. Step 5: Solve for x
    x = 295,902,667,287,124,901,888/11,518,199,608
  6. Step 6: Final answer
    x = 25,690,010,362.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.