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Finding the Third Proportional to 49,408,057 and 107,321,536

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Solution

The third proportional to 49,408,057 and 107,321,536 is: 233,118,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,057 : 107,321,536 = 107,321,536 : x
  2. Step 2: Convert to fraction form
    49,408,057/107,321,536 = 107,321,536/x
  3. Step 3: Cross multiply
    49,408,057x = 107,321,536 × 107,321,536
  4. Step 4: Simplify right side
    49,408,057x = 11,517,912,089,399,296
  5. Step 5: Solve for x
    x = 11,517,912,089,399,296/49,408,057
  6. Step 6: Final answer
    x = 233,118,094.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.