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Finding the Third Proportional to 74,786,736 and 111,881,232

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Solution

The third proportional to 74,786,736 and 111,881,232 is: 167,374,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,786,736 : 111,881,232 = 111,881,232 : x
  2. Step 2: Convert to fraction form
    74,786,736/111,881,232 = 111,881,232/x
  3. Step 3: Cross multiply
    74,786,736x = 111,881,232 × 111,881,232
  4. Step 4: Simplify right side
    74,786,736x = 12,517,410,073,837,824
  5. Step 5: Solve for x
    x = 12,517,410,073,837,824/74,786,736
  6. Step 6: Final answer
    x = 167,374,734.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.