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Finding the Third Proportional to 57,832,934 and 77,101,977

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Solution

The third proportional to 57,832,934 and 77,101,977 is: 102,791,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,934 : 77,101,977 = 77,101,977 : x
  2. Step 2: Convert to fraction form
    57,832,934/77,101,977 = 77,101,977/x
  3. Step 3: Cross multiply
    57,832,934x = 77,101,977 × 77,101,977
  4. Step 4: Simplify right side
    57,832,934x = 5,944,714,857,308,529
  5. Step 5: Solve for x
    x = 5,944,714,857,308,529/57,832,934
  6. Step 6: Final answer
    x = 102,791,168.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.