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Finding the Third Proportional to 1,214,121,843 and 2,612,387,622

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Solution

The third proportional to 1,214,121,843 and 2,612,387,622 is: 5,620,991,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,121,843 : 2,612,387,622 = 2,612,387,622 : x
  2. Step 2: Convert to fraction form
    1,214,121,843/2,612,387,622 = 2,612,387,622/x
  3. Step 3: Cross multiply
    1,214,121,843x = 2,612,387,622 × 2,612,387,622
  4. Step 4: Simplify right side
    1,214,121,843x = 6,824,569,087,578,814,464
  5. Step 5: Solve for x
    x = 6,824,569,087,578,814,464/1,214,121,843
  6. Step 6: Final answer
    x = 5,620,991,934.97

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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.