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Finding the Third Proportional to 47,449,296 and 103,597,344

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Solution

The third proportional to 47,449,296 and 103,597,344 is: 226,186,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,449,296 : 103,597,344 = 103,597,344 : x
  2. Step 2: Convert to fraction form
    47,449,296/103,597,344 = 103,597,344/x
  3. Step 3: Cross multiply
    47,449,296x = 103,597,344 × 103,597,344
  4. Step 4: Simplify right side
    47,449,296x = 10,732,409,683,854,336
  5. Step 5: Solve for x
    x = 10,732,409,683,854,336/47,449,296
  6. Step 6: Final answer
    x = 226,186,910.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.