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Finding the Third Proportional to 1,211,376,993 and 2,629,496,989

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Solution

The third proportional to 1,211,376,993 and 2,629,496,989 is: 5,707,764,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,376,993 : 2,629,496,989 = 2,629,496,989 : x
  2. Step 2: Convert to fraction form
    1,211,376,993/2,629,496,989 = 2,629,496,989/x
  3. Step 3: Cross multiply
    1,211,376,993x = 2,629,496,989 × 2,629,496,989
  4. Step 4: Simplify right side
    1,211,376,993x = 6,914,254,415,160,066,048
  5. Step 5: Solve for x
    x = 6,914,254,415,160,066,048/1,211,376,993
  6. Step 6: Final answer
    x = 5,707,764,350.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.