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Finding the Third Proportional to 75,884,229,667 and 168,735,089,625

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Solution

The third proportional to 75,884,229,667 and 168,735,089,625 is: 375,196,936,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884,229,667 : 168,735,089,625 = 168,735,089,625 : x
  2. Step 2: Convert to fraction form
    75,884,229,667/168,735,089,625 = 168,735,089,625/x
  3. Step 3: Cross multiply
    75,884,229,667x = 168,735,089,625 × 168,735,089,625
  4. Step 4: Simplify right side
    75,884,229,667x = 28,471,530,470,756,782,702,592
  5. Step 5: Solve for x
    x = 28,471,530,470,756,782,702,592/75,884,229,667
  6. Step 6: Final answer
    x = 375,196,936,118.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.