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Finding the Third Proportional to 458,599,629,309.80 and 997,715,665,201.35

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Solution

The third proportional to 458,599,629,309.80 and 997,715,665,201.35 is: 2,170,600,421,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599,629,309.80 : 997,715,665,201.35 = 997,715,665,201.35 : x
  2. Step 2: Convert to fraction form
    458,599,629,309.80/997,715,665,201.35 = 997,715,665,201.35/x
  3. Step 3: Cross multiply
    458,599,629,309.80x = 997,715,665,201.35 × 997,715,665,201.35
  4. Step 4: Simplify right side
    458,599,629,309.80x = 995,436,548,588,172,298,158,080
  5. Step 5: Solve for x
    x = 995,436,548,588,172,298,158,080/458,599,629,309.80
  6. Step 6: Final answer
    x = 2,170,600,421,300.65

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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.