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Finding the Third Proportional to 195,976,728 and 427,814,424

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Solution

The third proportional to 195,976,728 and 427,814,424 is: 933,912,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,976,728 : 427,814,424 = 427,814,424 : x
  2. Step 2: Convert to fraction form
    195,976,728/427,814,424 = 427,814,424/x
  3. Step 3: Cross multiply
    195,976,728x = 427,814,424 × 427,814,424
  4. Step 4: Simplify right side
    195,976,728x = 183,025,181,382,451,776
  5. Step 5: Solve for x
    x = 183,025,181,382,451,776/195,976,728
  6. Step 6: Final answer
    x = 933,912,833.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.