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Finding the Third Proportional to 815,149,368 and 1,722,305,136

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Solution

The third proportional to 815,149,368 and 1,722,305,136 is: 3,639,007,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,149,368 : 1,722,305,136 = 1,722,305,136 : x
  2. Step 2: Convert to fraction form
    815,149,368/1,722,305,136 = 1,722,305,136/x
  3. Step 3: Cross multiply
    815,149,368x = 1,722,305,136 × 1,722,305,136
  4. Step 4: Simplify right side
    815,149,368x = 2,966,334,981,491,978,240
  5. Step 5: Solve for x
    x = 2,966,334,981,491,978,240/815,149,368
  6. Step 6: Final answer
    x = 3,639,007,889.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.