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Finding the Third Proportional to 396,709,668 and 926,382,024

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Solution

The third proportional to 396,709,668 and 926,382,024 is: 2,163,253,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,709,668 : 926,382,024 = 926,382,024 : x
  2. Step 2: Convert to fraction form
    396,709,668/926,382,024 = 926,382,024/x
  3. Step 3: Cross multiply
    396,709,668x = 926,382,024 × 926,382,024
  4. Step 4: Simplify right side
    396,709,668x = 858,183,654,390,336,512
  5. Step 5: Solve for x
    x = 858,183,654,390,336,512/396,709,668
  6. Step 6: Final answer
    x = 2,163,253,693.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.