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Finding the Third Proportional to 458,599,629,322 and 997,715,665,224

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Solution

The third proportional to 458,599,629,322 and 997,715,665,224 is: 2,170,600,421,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599,629,322 : 997,715,665,224 = 997,715,665,224 : x
  2. Step 2: Convert to fraction form
    458,599,629,322/997,715,665,224 = 997,715,665,224/x
  3. Step 3: Cross multiply
    458,599,629,322x = 997,715,665,224 × 997,715,665,224
  4. Step 4: Simplify right side
    458,599,629,322x = 995,436,548,633,368,775,884,800
  5. Step 5: Solve for x
    x = 995,436,548,633,368,775,884,800/458,599,629,322
  6. Step 6: Final answer
    x = 2,170,600,421,341.46

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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.