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Finding the Third Proportional to 277,539,522,362 and 374,465,980,432

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Solution

The third proportional to 277,539,522,362 and 374,465,980,432 is: 505,242,530,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,539,522,362 : 374,465,980,432 = 374,465,980,432 : x
  2. Step 2: Convert to fraction form
    277,539,522,362/374,465,980,432 = 374,465,980,432/x
  3. Step 3: Cross multiply
    277,539,522,362x = 374,465,980,432 × 374,465,980,432
  4. Step 4: Simplify right side
    277,539,522,362x = 140,224,770,500,898,999,762,944
  5. Step 5: Solve for x
    x = 140,224,770,500,898,999,762,944/277,539,522,362
  6. Step 6: Final answer
    x = 505,242,530,171.98

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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.