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Finding the Third Proportional to 458,599,629,305.85 and 997,715,665,193.70

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Solution

The third proportional to 458,599,629,305.85 and 997,715,665,193.70 is: 2,170,600,421,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599,629,305.85 : 997,715,665,193.70 = 997,715,665,193.70 : x
  2. Step 2: Convert to fraction form
    458,599,629,305.85/997,715,665,193.70 = 997,715,665,193.70/x
  3. Step 3: Cross multiply
    458,599,629,305.85x = 997,715,665,193.70 × 997,715,665,193.70
  4. Step 4: Simplify right side
    458,599,629,305.85x = 995,436,548,572,907,179,081,728
  5. Step 5: Solve for x
    x = 995,436,548,572,907,179,081,728/458,599,629,305.85
  6. Step 6: Final answer
    x = 2,170,600,421,286.06

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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.