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Finding the Third Proportional to 8,525,274,568,608 and 18,409,330,049,568

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Solution

The third proportional to 8,525,274,568,608 and 18,409,330,049,568 is: 39,752,788,035,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525,274,568,608 : 18,409,330,049,568 = 18,409,330,049,568 : x
  2. Step 2: Convert to fraction form
    8,525,274,568,608/18,409,330,049,568 = 18,409,330,049,568/x
  3. Step 3: Cross multiply
    8,525,274,568,608x = 18,409,330,049,568 × 18,409,330,049,568
  4. Step 4: Simplify right side
    8,525,274,568,608x = 338,903,432,873,927,312,530,210,816
  5. Step 5: Solve for x
    x = 338,903,432,873,927,312,530,210,816/8,525,274,568,608
  6. Step 6: Final answer
    x = 39,752,788,035,924.01

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