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Finding the Third Proportional to 36,118,744 and 77,135,936

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Solution

The third proportional to 36,118,744 and 77,135,936 is: 164,733,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118,744 : 77,135,936 = 77,135,936 : x
  2. Step 2: Convert to fraction form
    36,118,744/77,135,936 = 77,135,936/x
  3. Step 3: Cross multiply
    36,118,744x = 77,135,936 × 77,135,936
  4. Step 4: Simplify right side
    36,118,744x = 5,949,952,622,596,096
  5. Step 5: Solve for x
    x = 5,949,952,622,596,096/36,118,744
  6. Step 6: Final answer
    x = 164,733,098.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.