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Finding the Third Proportional to 277,539,522,353 and 374,465,980,419

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Solution

The third proportional to 277,539,522,353 and 374,465,980,419 is: 505,242,530,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,539,522,353 : 374,465,980,419 = 374,465,980,419 : x
  2. Step 2: Convert to fraction form
    277,539,522,353/374,465,980,419 = 374,465,980,419/x
  3. Step 3: Cross multiply
    277,539,522,353x = 374,465,980,419 × 374,465,980,419
  4. Step 4: Simplify right side
    277,539,522,353x = 140,224,770,491,162,896,105,472
  5. Step 5: Solve for x
    x = 140,224,770,491,162,896,105,472/277,539,522,353
  6. Step 6: Final answer
    x = 505,242,530,153.28

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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.