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Finding the Third Proportional to 31,843,296 and 47,714,868

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Solution

The third proportional to 31,843,296 and 47,714,868 is: 71,497,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843,296 : 47,714,868 = 47,714,868 : x
  2. Step 2: Convert to fraction form
    31,843,296/47,714,868 = 47,714,868/x
  3. Step 3: Cross multiply
    31,843,296x = 47,714,868 × 47,714,868
  4. Step 4: Simplify right side
    31,843,296x = 2,276,708,628,257,424
  5. Step 5: Solve for x
    x = 2,276,708,628,257,424/31,843,296
  6. Step 6: Final answer
    x = 71,497,266.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.