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Finding the Third Proportional to 11,773,817,517 and 18,097,201,660

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Solution

The third proportional to 11,773,817,517 and 18,097,201,660 is: 27,816,696,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773,817,517 : 18,097,201,660 = 18,097,201,660 : x
  2. Step 2: Convert to fraction form
    11,773,817,517/18,097,201,660 = 18,097,201,660/x
  3. Step 3: Cross multiply
    11,773,817,517x = 18,097,201,660 × 18,097,201,660
  4. Step 4: Simplify right side
    11,773,817,517x = 327,508,707,922,706,759,680
  5. Step 5: Solve for x
    x = 327,508,707,922,706,759,680/11,773,817,517
  6. Step 6: Final answer
    x = 27,816,696,449.54

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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.