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Finding the Third Proportional to 282,094,418 and 427,407,987

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Solution

The third proportional to 282,094,418 and 427,407,987 is: 647,576,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094,418 : 427,407,987 = 427,407,987 : x
  2. Step 2: Convert to fraction form
    282,094,418/427,407,987 = 427,407,987/x
  3. Step 3: Cross multiply
    282,094,418x = 427,407,987 × 427,407,987
  4. Step 4: Simplify right side
    282,094,418x = 182,677,587,351,392,160
  5. Step 5: Solve for x
    x = 182,677,587,351,392,160/282,094,418
  6. Step 6: Final answer
    x = 647,576,044.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.