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Finding the Third Proportional to 273,216,813 and 419,694,443

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Solution

The third proportional to 273,216,813 and 419,694,443 is: 644,701,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216,813 : 419,694,443 = 419,694,443 : x
  2. Step 2: Convert to fraction form
    273,216,813/419,694,443 = 419,694,443/x
  3. Step 3: Cross multiply
    273,216,813x = 419,694,443 × 419,694,443
  4. Step 4: Simplify right side
    273,216,813x = 176,143,425,485,080,256
  5. Step 5: Solve for x
    x = 176,143,425,485,080,256/273,216,813
  6. Step 6: Final answer
    x = 644,701,998.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.