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Finding the Third Proportional to 2,695,062,735,738 and 5,992,703,037,966

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Solution

The third proportional to 2,695,062,735,738 and 5,992,703,037,966 is: 13,325,288,953,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695,062,735,738 : 5,992,703,037,966 = 5,992,703,037,966 : x
  2. Step 2: Convert to fraction form
    2,695,062,735,738/5,992,703,037,966 = 5,992,703,037,966/x
  3. Step 3: Cross multiply
    2,695,062,735,738x = 5,992,703,037,966 × 5,992,703,037,966
  4. Step 4: Simplify right side
    2,695,062,735,738x = 35,912,489,701,246,926,015,430,656
  5. Step 5: Solve for x
    x = 35,912,489,701,246,926,015,430,656/2,695,062,735,738
  6. Step 6: Final answer
    x = 13,325,288,953,399.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.