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Finding the Third Proportional to 458,599,629,310.17 and 997,715,665,202.20

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Solution

The third proportional to 458,599,629,310.17 and 997,715,665,202.20 is: 2,170,600,421,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599,629,310.17 : 997,715,665,202.20 = 997,715,665,202.20 : x
  2. Step 2: Convert to fraction form
    458,599,629,310.17/997,715,665,202.20 = 997,715,665,202.20/x
  3. Step 3: Cross multiply
    458,599,629,310.17x = 997,715,665,202.20 × 997,715,665,202.20
  4. Step 4: Simplify right side
    458,599,629,310.17x = 995,436,548,589,868,407,586,816
  5. Step 5: Solve for x
    x = 995,436,548,589,868,407,586,816/458,599,629,310.17
  6. Step 6: Final answer
    x = 2,170,600,421,302.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.