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Finding the Third Proportional to 366,149,565 and 552,629,336

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Solution

The third proportional to 366,149,565 and 552,629,336 is: 834,083,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,149,565 : 552,629,336 = 552,629,336 : x
  2. Step 2: Convert to fraction form
    366,149,565/552,629,336 = 552,629,336/x
  3. Step 3: Cross multiply
    366,149,565x = 552,629,336 × 552,629,336
  4. Step 4: Simplify right side
    366,149,565x = 305,399,183,007,800,896
  5. Step 5: Solve for x
    x = 305,399,183,007,800,896/366,149,565
  6. Step 6: Final answer
    x = 834,083,151.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.