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Finding the Third Proportional to 365,388,932 and 852,603,621.50

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Solution

The third proportional to 365,388,932 and 852,603,621.50 is: 1,989,477,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,932 : 852,603,621.50 = 852,603,621.50 : x
  2. Step 2: Convert to fraction form
    365,388,932/852,603,621.50 = 852,603,621.50/x
  3. Step 3: Cross multiply
    365,388,932x = 852,603,621.50 × 852,603,621.50
  4. Step 4: Simplify right side
    365,388,932x = 726,932,935,394,915,200
  5. Step 5: Solve for x
    x = 726,932,935,394,915,200/365,388,932
  6. Step 6: Final answer
    x = 1,989,477,161.82

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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.