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Finding the Third Proportional to 277,539,522,366 and 374,465,980,438

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Solution

The third proportional to 277,539,522,366 and 374,465,980,438 is: 505,242,530,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,539,522,366 : 374,465,980,438 = 374,465,980,438 : x
  2. Step 2: Convert to fraction form
    277,539,522,366/374,465,980,438 = 374,465,980,438/x
  3. Step 3: Cross multiply
    277,539,522,366x = 374,465,980,438 × 374,465,980,438
  4. Step 4: Simplify right side
    277,539,522,366x = 140,224,770,505,392,592,519,168
  5. Step 5: Solve for x
    x = 140,224,770,505,392,592,519,168/277,539,522,366
  6. Step 6: Final answer
    x = 505,242,530,180.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.