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Finding the Third Proportional to 365,388,851.63 and 852,603,450.38

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Solution

The third proportional to 365,388,851.63 and 852,603,450.38 is: 1,989,476,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,851.63 : 852,603,450.38 = 852,603,450.38 : x
  2. Step 2: Convert to fraction form
    365,388,851.63/852,603,450.38 = 852,603,450.38/x
  3. Step 3: Cross multiply
    365,388,851.63x = 852,603,450.38 × 852,603,450.38
  4. Step 4: Simplify right side
    365,388,851.63x = 726,932,643,591,355,136
  5. Step 5: Solve for x
    x = 726,932,643,591,355,136/365,388,851.63
  6. Step 6: Final answer
    x = 1,989,476,800.83

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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.