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Finding the Third Proportional to 35,993,648 and 77,449,602

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Solution

The third proportional to 35,993,648 and 77,449,602 is: 166,652,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993,648 : 77,449,602 = 77,449,602 : x
  2. Step 2: Convert to fraction form
    35,993,648/77,449,602 = 77,449,602/x
  3. Step 3: Cross multiply
    35,993,648x = 77,449,602 × 77,449,602
  4. Step 4: Simplify right side
    35,993,648x = 5,998,440,849,958,404
  5. Step 5: Solve for x
    x = 5,998,440,849,958,404/35,993,648
  6. Step 6: Final answer
    x = 166,652,761.90

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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.