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Finding the Third Proportional to 2,751,597,775,808.80 and 5,986,293,991,108.40

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Solution

The third proportional to 2,751,597,775,808.80 and 5,986,293,991,108.40 is: 13,023,602,527,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,597,775,808.80 : 5,986,293,991,108.40 = 5,986,293,991,108.40 : x
  2. Step 2: Convert to fraction form
    2,751,597,775,808.80/5,986,293,991,108.40 = 5,986,293,991,108.40/x
  3. Step 3: Cross multiply
    2,751,597,775,808.80x = 5,986,293,991,108.40 × 5,986,293,991,108.40
  4. Step 4: Simplify right side
    2,751,597,775,808.80x = 35,835,715,747,980,543,275,302,912
  5. Step 5: Solve for x
    x = 35,835,715,747,980,543,275,302,912/2,751,597,775,808.80
  6. Step 6: Final answer
    x = 13,023,602,527,606.73

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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.