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Finding the Third Proportional to 36,118,755 and 77,135,958

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Solution

The third proportional to 36,118,755 and 77,135,958 is: 164,733,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118,755 : 77,135,958 = 77,135,958 : x
  2. Step 2: Convert to fraction form
    36,118,755/77,135,958 = 77,135,958/x
  3. Step 3: Cross multiply
    36,118,755x = 77,135,958 × 77,135,958
  4. Step 4: Simplify right side
    36,118,755x = 5,949,956,016,577,764
  5. Step 5: Solve for x
    x = 5,949,956,016,577,764/36,118,755
  6. Step 6: Final answer
    x = 164,733,142.56

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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.