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Finding the Third Proportional to 3,897,465,668 and 9,197,321,438

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Solution

The third proportional to 3,897,465,668 and 9,197,321,438 is: 21,704,032,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,465,668 : 9,197,321,438 = 9,197,321,438 : x
  2. Step 2: Convert to fraction form
    3,897,465,668/9,197,321,438 = 9,197,321,438/x
  3. Step 3: Cross multiply
    3,897,465,668x = 9,197,321,438 × 9,197,321,438
  4. Step 4: Simplify right side
    3,897,465,668x = 84,590,721,633,894,383,616
  5. Step 5: Solve for x
    x = 84,590,721,633,894,383,616/3,897,465,668
  6. Step 6: Final answer
    x = 21,704,032,527.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.