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Finding the Third Proportional to 846,067,171,706 and 1,858,346,518,570

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Solution

The third proportional to 846,067,171,706 and 1,858,346,518,570 is: 4,081,770,217,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,067,171,706 : 1,858,346,518,570 = 1,858,346,518,570 : x
  2. Step 2: Convert to fraction form
    846,067,171,706/1,858,346,518,570 = 1,858,346,518,570/x
  3. Step 3: Cross multiply
    846,067,171,706x = 1,858,346,518,570 × 1,858,346,518,570
  4. Step 4: Simplify right side
    846,067,171,706x = 3,453,451,783,081,239,500,554,240
  5. Step 5: Solve for x
    x = 3,453,451,783,081,239,500,554,240/846,067,171,706
  6. Step 6: Final answer
    x = 4,081,770,217,035.77

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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.