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Finding the Third Proportional to 669,163,351.50 and 1,449,496,287

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Solution

The third proportional to 669,163,351.50 and 1,449,496,287 is: 3,139,800,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,163,351.50 : 1,449,496,287 = 1,449,496,287 : x
  2. Step 2: Convert to fraction form
    669,163,351.50/1,449,496,287 = 1,449,496,287/x
  3. Step 3: Cross multiply
    669,163,351.50x = 1,449,496,287 × 1,449,496,287
  4. Step 4: Simplify right side
    669,163,351.50x = 2,101,039,486,026,786,304
  5. Step 5: Solve for x
    x = 2,101,039,486,026,786,304/669,163,351.50
  6. Step 6: Final answer
    x = 3,139,800,590.27

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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.