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Finding the Third Proportional to 12,489,252,105 and 27,267,131,487

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Solution

The third proportional to 12,489,252,105 and 27,267,131,487 is: 59,530,903,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489,252,105 : 27,267,131,487 = 27,267,131,487 : x
  2. Step 2: Convert to fraction form
    12,489,252,105/27,267,131,487 = 27,267,131,487/x
  3. Step 3: Cross multiply
    12,489,252,105x = 27,267,131,487 × 27,267,131,487
  4. Step 4: Simplify right side
    12,489,252,105x = 743,496,459,529,346,875,392
  5. Step 5: Solve for x
    x = 743,496,459,529,346,875,392/12,489,252,105
  6. Step 6: Final answer
    x = 59,530,903,314.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.