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Finding the Third Proportional to 353,469,051 and 743,568,165

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Solution

The third proportional to 353,469,051 and 743,568,165 is: 1,564,192,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,469,051 : 743,568,165 = 743,568,165 : x
  2. Step 2: Convert to fraction form
    353,469,051/743,568,165 = 743,568,165/x
  3. Step 3: Cross multiply
    353,469,051x = 743,568,165 × 743,568,165
  4. Step 4: Simplify right side
    353,469,051x = 552,893,616,001,467,200
  5. Step 5: Solve for x
    x = 552,893,616,001,467,200/353,469,051
  6. Step 6: Final answer
    x = 1,564,192,436.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.