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Finding the Third Proportional to 699,397,375.50 and 1,530,201,847.50

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Solution

The third proportional to 699,397,375.50 and 1,530,201,847.50 is: 3,347,907,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,397,375.50 : 1,530,201,847.50 = 1,530,201,847.50 : x
  2. Step 2: Convert to fraction form
    699,397,375.50/1,530,201,847.50 = 1,530,201,847.50/x
  3. Step 3: Cross multiply
    699,397,375.50x = 1,530,201,847.50 × 1,530,201,847.50
  4. Step 4: Simplify right side
    699,397,375.50x = 2,341,517,694,092,413,440
  5. Step 5: Solve for x
    x = 2,341,517,694,092,413,440/699,397,375.50
  6. Step 6: Final answer
    x = 3,347,907,464.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.