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Finding the Third Proportional to 1,794,340,530,832 and 3,860,825,936,768

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Solution

The third proportional to 1,794,340,530,832 and 3,860,825,936,768 is: 8,307,217,419,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,340,530,832 : 3,860,825,936,768 = 3,860,825,936,768 : x
  2. Step 2: Convert to fraction form
    1,794,340,530,832/3,860,825,936,768 = 3,860,825,936,768/x
  3. Step 3: Cross multiply
    1,794,340,530,832x = 3,860,825,936,768 × 3,860,825,936,768
  4. Step 4: Simplify right side
    1,794,340,530,832x = 14,905,976,914,020,505,053,298,688
  5. Step 5: Solve for x
    x = 14,905,976,914,020,505,053,298,688/1,794,340,530,832
  6. Step 6: Final answer
    x = 8,307,217,419,376.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.