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Finding the Third Proportional to 124,262,638 and 270,342,351

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Solution

The third proportional to 124,262,638 and 270,342,351 is: 588,149,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,262,638 : 270,342,351 = 270,342,351 : x
  2. Step 2: Convert to fraction form
    124,262,638/270,342,351 = 270,342,351/x
  3. Step 3: Cross multiply
    124,262,638x = 270,342,351 × 270,342,351
  4. Step 4: Simplify right side
    124,262,638x = 73,084,986,744,207,200
  5. Step 5: Solve for x
    x = 73,084,986,744,207,200/124,262,638
  6. Step 6: Final answer
    x = 588,149,325.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.