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Finding the Third Proportional to 277,539,522,355 and 374,465,980,422

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Solution

The third proportional to 277,539,522,355 and 374,465,980,422 is: 505,242,530,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,539,522,355 : 374,465,980,422 = 374,465,980,422 : x
  2. Step 2: Convert to fraction form
    277,539,522,355/374,465,980,422 = 374,465,980,422/x
  3. Step 3: Cross multiply
    277,539,522,355x = 374,465,980,422 × 374,465,980,422
  4. Step 4: Simplify right side
    277,539,522,355x = 140,224,770,493,409,684,094,976
  5. Step 5: Solve for x
    x = 140,224,770,493,409,684,094,976/277,539,522,355
  6. Step 6: Final answer
    x = 505,242,530,157.74

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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.