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Finding the Third Proportional to 1,727,354,228 and 3,729,950,306

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Solution

The third proportional to 1,727,354,228 and 3,729,950,306 is: 8,054,242,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,354,228 : 3,729,950,306 = 3,729,950,306 : x
  2. Step 2: Convert to fraction form
    1,727,354,228/3,729,950,306 = 3,729,950,306/x
  3. Step 3: Cross multiply
    1,727,354,228x = 3,729,950,306 × 3,729,950,306
  4. Step 4: Simplify right side
    1,727,354,228x = 13,912,529,285,229,494,272
  5. Step 5: Solve for x
    x = 13,912,529,285,229,494,272/1,727,354,228
  6. Step 6: Final answer
    x = 8,054,242,181.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.