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Finding the Third Proportional to 35,993,649 and 77,449,605

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Solution

The third proportional to 35,993,649 and 77,449,605 is: 166,652,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993,649 : 77,449,605 = 77,449,605 : x
  2. Step 2: Convert to fraction form
    35,993,649/77,449,605 = 77,449,605/x
  3. Step 3: Cross multiply
    35,993,649x = 77,449,605 × 77,449,605
  4. Step 4: Simplify right side
    35,993,649x = 5,998,441,314,656,025
  5. Step 5: Solve for x
    x = 5,998,441,314,656,025/35,993,649
  6. Step 6: Final answer
    x = 166,652,770.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.