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Finding the Third Proportional to 365,388,850.75 and 852,603,451.50

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Solution

The third proportional to 365,388,850.75 and 852,603,451.50 is: 1,989,476,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,850.75 : 852,603,451.50 = 852,603,451.50 : x
  2. Step 2: Convert to fraction form
    365,388,850.75/852,603,451.50 = 852,603,451.50/x
  3. Step 3: Cross multiply
    365,388,850.75x = 852,603,451.50 × 852,603,451.50
  4. Step 4: Simplify right side
    365,388,850.75x = 726,932,645,509,712,896
  5. Step 5: Solve for x
    x = 726,932,645,509,712,896/365,388,850.75
  6. Step 6: Final answer
    x = 1,989,476,810.85

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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.