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Finding the Third Proportional to 814,486,185 and 1,726,703,325

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Solution

The third proportional to 814,486,185 and 1,726,703,325 is: 3,660,595,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,486,185 : 1,726,703,325 = 1,726,703,325 : x
  2. Step 2: Convert to fraction form
    814,486,185/1,726,703,325 = 1,726,703,325/x
  3. Step 3: Cross multiply
    814,486,185x = 1,726,703,325 × 1,726,703,325
  4. Step 4: Simplify right side
    814,486,185x = 2,981,504,372,566,055,424
  5. Step 5: Solve for x
    x = 2,981,504,372,566,055,424/814,486,185
  6. Step 6: Final answer
    x = 3,660,595,388.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.