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Finding the Third Proportional to 3,409,146,608,682 and 7,418,440,504,168

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Solution

The third proportional to 3,409,146,608,682 and 7,418,440,504,168 is: 16,142,825,707,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,146,608,682 : 7,418,440,504,168 = 7,418,440,504,168 : x
  2. Step 2: Convert to fraction form
    3,409,146,608,682/7,418,440,504,168 = 7,418,440,504,168/x
  3. Step 3: Cross multiply
    3,409,146,608,682x = 7,418,440,504,168 × 7,418,440,504,168
  4. Step 4: Simplify right side
    3,409,146,608,682x = 55,033,259,513,880,365,928,284,160
  5. Step 5: Solve for x
    x = 55,033,259,513,880,365,928,284,160/3,409,146,608,682
  6. Step 6: Final answer
    x = 16,142,825,707,092.90

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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.