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Finding the Third Proportional to 52,430,997.75 and 81,406,977

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Solution

The third proportional to 52,430,997.75 and 81,406,977 is: 126,396,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,430,997.75 : 81,406,977 = 81,406,977 : x
  2. Step 2: Convert to fraction form
    52,430,997.75/81,406,977 = 81,406,977/x
  3. Step 3: Cross multiply
    52,430,997.75x = 81,406,977 × 81,406,977
  4. Step 4: Simplify right side
    52,430,997.75x = 6,627,095,904,278,529
  5. Step 5: Solve for x
    x = 6,627,095,904,278,529/52,430,997.75
  6. Step 6: Final answer
    x = 126,396,524.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.