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Finding the Third Proportional to 83,317,195,811 and 182,551,925,344

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Solution

The third proportional to 83,317,195,811 and 182,551,925,344 is: 399,979,921,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317,195,811 : 182,551,925,344 = 182,551,925,344 : x
  2. Step 2: Convert to fraction form
    83,317,195,811/182,551,925,344 = 182,551,925,344/x
  3. Step 3: Cross multiply
    83,317,195,811x = 182,551,925,344 × 182,551,925,344
  4. Step 4: Simplify right side
    83,317,195,811x = 33,325,205,446,801,349,410,816
  5. Step 5: Solve for x
    x = 33,325,205,446,801,349,410,816/83,317,195,811
  6. Step 6: Final answer
    x = 399,979,921,580.63

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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.