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Finding the Third Proportional to 416,309,408,144 and 561,699,131,288

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Solution

The third proportional to 416,309,408,144 and 561,699,131,288 is: 757,864,001,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,309,408,144 : 561,699,131,288 = 561,699,131,288 : x
  2. Step 2: Convert to fraction form
    416,309,408,144/561,699,131,288 = 561,699,131,288/x
  3. Step 3: Cross multiply
    416,309,408,144x = 561,699,131,288 × 561,699,131,288
  4. Step 4: Simplify right side
    416,309,408,144x = 315,505,914,089,693,884,973,056
  5. Step 5: Solve for x
    x = 315,505,914,089,693,884,973,056/416,309,408,144
  6. Step 6: Final answer
    x = 757,864,001,912.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.