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Finding the Third Proportional to 308,295,600.24 and 727,522,436.60

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Solution

The third proportional to 308,295,600.24 and 727,522,436.60 is: 1,716,822,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,295,600.24 : 727,522,436.60 = 727,522,436.60 : x
  2. Step 2: Convert to fraction form
    308,295,600.24/727,522,436.60 = 727,522,436.60/x
  3. Step 3: Cross multiply
    308,295,600.24x = 727,522,436.60 × 727,522,436.60
  4. Step 4: Simplify right side
    308,295,600.24x = 529,288,895,758,656,320
  5. Step 5: Solve for x
    x = 529,288,895,758,656,320/308,295,600.24
  6. Step 6: Final answer
    x = 1,716,822,735.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.