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Finding the Third Proportional to 1,203,739,974 and 1,695,131,136

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Solution

The third proportional to 1,203,739,974 and 1,695,131,136 is: 2,387,118,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,739,974 : 1,695,131,136 = 1,695,131,136 : x
  2. Step 2: Convert to fraction form
    1,203,739,974/1,695,131,136 = 1,695,131,136/x
  3. Step 3: Cross multiply
    1,203,739,974x = 1,695,131,136 × 1,695,131,136
  4. Step 4: Simplify right side
    1,203,739,974x = 2,873,469,568,236,650,496
  5. Step 5: Solve for x
    x = 2,873,469,568,236,650,496/1,203,739,974
  6. Step 6: Final answer
    x = 2,387,118,173.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.