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Finding the Third Proportional to 750,396,297 and 1,629,969,079

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Solution

The third proportional to 750,396,297 and 1,629,969,079 is: 3,540,528,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,396,297 : 1,629,969,079 = 1,629,969,079 : x
  2. Step 2: Convert to fraction form
    750,396,297/1,629,969,079 = 1,629,969,079/x
  3. Step 3: Cross multiply
    750,396,297x = 1,629,969,079 × 1,629,969,079
  4. Step 4: Simplify right side
    750,396,297x = 2,656,799,198,496,108,032
  5. Step 5: Solve for x
    x = 2,656,799,198,496,108,032/750,396,297
  6. Step 6: Final answer
    x = 3,540,528,130.43

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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.