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Finding the Third Proportional to 3,409,146,608,684 and 7,418,440,504,173

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Solution

The third proportional to 3,409,146,608,684 and 7,418,440,504,173 is: 16,142,825,707,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,146,608,684 : 7,418,440,504,173 = 7,418,440,504,173 : x
  2. Step 2: Convert to fraction form
    3,409,146,608,684/7,418,440,504,173 = 7,418,440,504,173/x
  3. Step 3: Cross multiply
    3,409,146,608,684x = 7,418,440,504,173 × 7,418,440,504,173
  4. Step 4: Simplify right side
    3,409,146,608,684x = 55,033,259,513,954,557,193,355,264
  5. Step 5: Solve for x
    x = 55,033,259,513,954,557,193,355,264/3,409,146,608,684
  6. Step 6: Final answer
    x = 16,142,825,707,105.19

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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.