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Finding the Third Proportional to 353,469,080.81 and 743,568,224.63

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Solution

The third proportional to 353,469,080.81 and 743,568,224.63 is: 1,564,192,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,469,080.81 : 743,568,224.63 = 743,568,224.63 : x
  2. Step 2: Convert to fraction form
    353,469,080.81/743,568,224.63 = 743,568,224.63/x
  3. Step 3: Cross multiply
    353,469,080.81x = 743,568,224.63 × 743,568,224.63
  4. Step 4: Simplify right side
    353,469,080.81x = 552,893,704,671,974,464
  5. Step 5: Solve for x
    x = 552,893,704,671,974,464/353,469,080.81
  6. Step 6: Final answer
    x = 1,564,192,555.12

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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.