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Finding the Third Proportional to 36,213,969 and 78,601,110

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Solution

The third proportional to 36,213,969 and 78,601,110 is: 170,600,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213,969 : 78,601,110 = 78,601,110 : x
  2. Step 2: Convert to fraction form
    36,213,969/78,601,110 = 78,601,110/x
  3. Step 3: Cross multiply
    36,213,969x = 78,601,110 × 78,601,110
  4. Step 4: Simplify right side
    36,213,969x = 6,178,134,493,232,100
  5. Step 5: Solve for x
    x = 6,178,134,493,232,100/36,213,969
  6. Step 6: Final answer
    x = 170,600,866.57

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