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Finding the Third Proportional to 36,806,096 and 77,419,741

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Solution

The third proportional to 36,806,096 and 77,419,741 is: 162,848,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806,096 : 77,419,741 = 77,419,741 : x
  2. Step 2: Convert to fraction form
    36,806,096/77,419,741 = 77,419,741/x
  3. Step 3: Cross multiply
    36,806,096x = 77,419,741 × 77,419,741
  4. Step 4: Simplify right side
    36,806,096x = 5,993,816,296,507,081
  5. Step 5: Solve for x
    x = 5,993,816,296,507,081/36,806,096
  6. Step 6: Final answer
    x = 162,848,466.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.