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Finding the Third Proportional to 83,317,194,720 and 182,551,923,432

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Solution

The third proportional to 83,317,194,720 and 182,551,923,432 is: 399,979,918,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317,194,720 : 182,551,923,432 = 182,551,923,432 : x
  2. Step 2: Convert to fraction form
    83,317,194,720/182,551,923,432 = 182,551,923,432/x
  3. Step 3: Cross multiply
    83,317,194,720x = 182,551,923,432 × 182,551,923,432
  4. Step 4: Simplify right side
    83,317,194,720x = 33,325,204,748,722,790,989,824
  5. Step 5: Solve for x
    x = 33,325,204,748,722,790,989,824/83,317,194,720
  6. Step 6: Final answer
    x = 399,979,918,439.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.