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Finding the Third Proportional to 339,651,768 and 740,790,156

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Solution

The third proportional to 339,651,768 and 740,790,156 is: 1,615,684,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,651,768 : 740,790,156 = 740,790,156 : x
  2. Step 2: Convert to fraction form
    339,651,768/740,790,156 = 740,790,156/x
  3. Step 3: Cross multiply
    339,651,768x = 740,790,156 × 740,790,156
  4. Step 4: Simplify right side
    339,651,768x = 548,770,055,226,504,320
  5. Step 5: Solve for x
    x = 548,770,055,226,504,320/339,651,768
  6. Step 6: Final answer
    x = 1,615,684,377.14

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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.