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Finding the Third Proportional to 375,193,096 and 814,974,295

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Solution

The third proportional to 375,193,096 and 814,974,295 is: 1,770,243,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,193,096 : 814,974,295 = 814,974,295 : x
  2. Step 2: Convert to fraction form
    375,193,096/814,974,295 = 814,974,295/x
  3. Step 3: Cross multiply
    375,193,096x = 814,974,295 × 814,974,295
  4. Step 4: Simplify right side
    375,193,096x = 664,183,101,510,747,008
  5. Step 5: Solve for x
    x = 664,183,101,510,747,008/375,193,096
  6. Step 6: Final answer
    x = 1,770,243,398.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.