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Finding the Third Proportional to 493,480,737.75 and 1,097,296,723.13

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Solution

The third proportional to 493,480,737.75 and 1,097,296,723.13 is: 2,439,933,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,480,737.75 : 1,097,296,723.13 = 1,097,296,723.13 : x
  2. Step 2: Convert to fraction form
    493,480,737.75/1,097,296,723.13 = 1,097,296,723.13/x
  3. Step 3: Cross multiply
    493,480,737.75x = 1,097,296,723.13 × 1,097,296,723.13
  4. Step 4: Simplify right side
    493,480,737.75x = 1,204,060,098,580,862,976
  5. Step 5: Solve for x
    x = 1,204,060,098,580,862,976/493,480,737.75
  6. Step 6: Final answer
    x = 2,439,933,327.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.