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Finding the Third Proportional to 11,518,199,607 and 17,201,821,626

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Solution

The third proportional to 11,518,199,607 and 17,201,821,626 is: 25,690,010,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518,199,607 : 17,201,821,626 = 17,201,821,626 : x
  2. Step 2: Convert to fraction form
    11,518,199,607/17,201,821,626 = 17,201,821,626/x
  3. Step 3: Cross multiply
    11,518,199,607x = 17,201,821,626 × 17,201,821,626
  4. Step 4: Simplify right side
    11,518,199,607x = 295,902,667,252,721,254,400
  5. Step 5: Solve for x
    x = 295,902,667,252,721,254,400/11,518,199,607
  6. Step 6: Final answer
    x = 25,690,010,361.77

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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.