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Finding the Third Proportional to 6,395,309,225 and 14,261,107,288

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Solution

The third proportional to 6,395,309,225 and 14,261,107,288 is: 31,801,305,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395,309,225 : 14,261,107,288 = 14,261,107,288 : x
  2. Step 2: Convert to fraction form
    6,395,309,225/14,261,107,288 = 14,261,107,288/x
  3. Step 3: Cross multiply
    6,395,309,225x = 14,261,107,288 × 14,261,107,288
  4. Step 4: Simplify right side
    6,395,309,225x = 203,379,181,079,846,715,392
  5. Step 5: Solve for x
    x = 203,379,181,079,846,715,392/6,395,309,225
  6. Step 6: Final answer
    x = 31,801,305,288.70

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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.