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Finding the Third Proportional to 633,137,732 and 1,375,267,959

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Solution

The third proportional to 633,137,732 and 1,375,267,959 is: 2,987,283,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,137,732 : 1,375,267,959 = 1,375,267,959 : x
  2. Step 2: Convert to fraction form
    633,137,732/1,375,267,959 = 1,375,267,959/x
  3. Step 3: Cross multiply
    633,137,732x = 1,375,267,959 × 1,375,267,959
  4. Step 4: Simplify right side
    633,137,732x = 1,891,361,959,052,025,600
  5. Step 5: Solve for x
    x = 1,891,361,959,052,025,600/633,137,732
  6. Step 6: Final answer
    x = 2,987,283,593.22

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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.