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Finding the Third Proportional to 846,067,171,710 and 1,858,346,518,578

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Solution

The third proportional to 846,067,171,710 and 1,858,346,518,578 is: 4,081,770,217,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,067,171,710 : 1,858,346,518,578 = 1,858,346,518,578 : x
  2. Step 2: Convert to fraction form
    846,067,171,710/1,858,346,518,578 = 1,858,346,518,578/x
  3. Step 3: Cross multiply
    846,067,171,710x = 1,858,346,518,578 × 1,858,346,518,578
  4. Step 4: Simplify right side
    846,067,171,710x = 3,453,451,783,110,973,022,273,536
  5. Step 5: Solve for x
    x = 3,453,451,783,110,973,022,273,536/846,067,171,710
  6. Step 6: Final answer
    x = 4,081,770,217,051.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.