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Finding the Third Proportional to 365,388,923 and 852,603,602

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Solution

The third proportional to 365,388,923 and 852,603,602 is: 1,989,477,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,923 : 852,603,602 = 852,603,602 : x
  2. Step 2: Convert to fraction form
    365,388,923/852,603,602 = 852,603,602/x
  3. Step 3: Cross multiply
    365,388,923x = 852,603,602 × 852,603,602
  4. Step 4: Simplify right side
    365,388,923x = 726,932,902,143,374,464
  5. Step 5: Solve for x
    x = 726,932,902,143,374,464/365,388,923
  6. Step 6: Final answer
    x = 1,989,477,119.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.