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Finding the Third Proportional to 2,751,597,775,751.10 and 5,986,293,990,997.20

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Solution

The third proportional to 2,751,597,775,751.10 and 5,986,293,990,997.20 is: 13,023,602,527,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,597,775,751.10 : 5,986,293,990,997.20 = 5,986,293,990,997.20 : x
  2. Step 2: Convert to fraction form
    2,751,597,775,751.10/5,986,293,990,997.20 = 5,986,293,990,997.20/x
  3. Step 3: Cross multiply
    2,751,597,775,751.10x = 5,986,293,990,997.20 × 5,986,293,990,997.20
  4. Step 4: Simplify right side
    2,751,597,775,751.10x = 35,835,715,746,649,189,312,888,832
  5. Step 5: Solve for x
    x = 35,835,715,746,649,189,312,888,832/2,751,597,775,751.10
  6. Step 6: Final answer
    x = 13,023,602,527,395.98

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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.