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Finding the Third Proportional to 25,856,453,200 and 36,395,717,257

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Solution

The third proportional to 25,856,453,200 and 36,395,717,257 is: 51,230,856,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856,453,200 : 36,395,717,257 = 36,395,717,257 : x
  2. Step 2: Convert to fraction form
    25,856,453,200/36,395,717,257 = 36,395,717,257/x
  3. Step 3: Cross multiply
    25,856,453,200x = 36,395,717,257 × 36,395,717,257
  4. Step 4: Simplify right side
    25,856,453,200x = 1,324,648,234,651,487,567,872
  5. Step 5: Solve for x
    x = 1,324,648,234,651,487,567,872/25,856,453,200
  6. Step 6: Final answer
    x = 51,230,856,158.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.