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Finding the Third Proportional to 458,599,629,294 and 997,715,665,171

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Solution

The third proportional to 458,599,629,294 and 997,715,665,171 is: 2,170,600,421,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599,629,294 : 997,715,665,171 = 997,715,665,171 : x
  2. Step 2: Convert to fraction form
    458,599,629,294/997,715,665,171 = 997,715,665,171/x
  3. Step 3: Cross multiply
    458,599,629,294x = 997,715,665,171 × 997,715,665,171
  4. Step 4: Simplify right side
    458,599,629,294x = 995,436,548,527,610,977,583,104
  5. Step 5: Solve for x
    x = 995,436,548,527,610,977,583,104/458,599,629,294
  6. Step 6: Final answer
    x = 2,170,600,421,243.37

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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.