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Finding the Third Proportional to 365,388,933 and 852,603,624

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Solution

The third proportional to 365,388,933 and 852,603,624 is: 1,989,477,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,933 : 852,603,624 = 852,603,624 : x
  2. Step 2: Convert to fraction form
    365,388,933/852,603,624 = 852,603,624/x
  3. Step 3: Cross multiply
    365,388,933x = 852,603,624 × 852,603,624
  4. Step 4: Simplify right side
    365,388,933x = 726,932,939,657,933,312
  5. Step 5: Solve for x
    x = 726,932,939,657,933,312/365,388,933
  6. Step 6: Final answer
    x = 1,989,477,168.04

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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.