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Finding the Third Proportional to 3,409,146,608,686 and 7,418,440,504,176

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Solution

The third proportional to 3,409,146,608,686 and 7,418,440,504,176 is: 16,142,825,707,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,146,608,686 : 7,418,440,504,176 = 7,418,440,504,176 : x
  2. Step 2: Convert to fraction form
    3,409,146,608,686/7,418,440,504,176 = 7,418,440,504,176/x
  3. Step 3: Cross multiply
    3,409,146,608,686x = 7,418,440,504,176 × 7,418,440,504,176
  4. Step 4: Simplify right side
    3,409,146,608,686x = 55,033,259,513,999,061,644,476,416
  5. Step 5: Solve for x
    x = 55,033,259,513,999,061,644,476,416/3,409,146,608,686
  6. Step 6: Final answer
    x = 16,142,825,707,108.78

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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.