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Finding the Third Proportional to 8,084,511,438 and 17,592,605,100

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Solution

The third proportional to 8,084,511,438 and 17,592,605,100 is: 38,283,049,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084,511,438 : 17,592,605,100 = 17,592,605,100 : x
  2. Step 2: Convert to fraction form
    8,084,511,438/17,592,605,100 = 17,592,605,100/x
  3. Step 3: Cross multiply
    8,084,511,438x = 17,592,605,100 × 17,592,605,100
  4. Step 4: Simplify right side
    8,084,511,438x = 309,499,754,204,546,007,040
  5. Step 5: Solve for x
    x = 309,499,754,204,546,007,040/8,084,511,438
  6. Step 6: Final answer
    x = 38,283,049,826.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.