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Finding the Third Proportional to 6,395,309,223 and 14,261,107,284

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Solution

The third proportional to 6,395,309,223 and 14,261,107,284 is: 31,801,305,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395,309,223 : 14,261,107,284 = 14,261,107,284 : x
  2. Step 2: Convert to fraction form
    6,395,309,223/14,261,107,284 = 14,261,107,284/x
  3. Step 3: Cross multiply
    6,395,309,223x = 14,261,107,284 × 14,261,107,284
  4. Step 4: Simplify right side
    6,395,309,223x = 203,379,180,965,757,845,504
  5. Step 5: Solve for x
    x = 203,379,180,965,757,845,504/6,395,309,223
  6. Step 6: Final answer
    x = 31,801,305,280.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.