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Finding the Third Proportional to 173,967,441,346 and 374,522,524,364

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Solution

The third proportional to 173,967,441,346 and 374,522,524,364 is: 806,283,751,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,967,441,346 : 374,522,524,364 = 374,522,524,364 : x
  2. Step 2: Convert to fraction form
    173,967,441,346/374,522,524,364 = 374,522,524,364/x
  3. Step 3: Cross multiply
    173,967,441,346x = 374,522,524,364 × 374,522,524,364
  4. Step 4: Simplify right side
    173,967,441,346x = 140,267,121,255,982,976,466,944
  5. Step 5: Solve for x
    x = 140,267,121,255,982,976,466,944/173,967,441,346
  6. Step 6: Final answer
    x = 806,283,751,549.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.