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Finding the Third Proportional to 425,394,984 and 923,391,078

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Solution

The third proportional to 425,394,984 and 923,391,078 is: 2,004,375,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,394,984 : 923,391,078 = 923,391,078 : x
  2. Step 2: Convert to fraction form
    425,394,984/923,391,078 = 923,391,078/x
  3. Step 3: Cross multiply
    425,394,984x = 923,391,078 × 923,391,078
  4. Step 4: Simplify right side
    425,394,984x = 852,651,082,930,002,048
  5. Step 5: Solve for x
    x = 852,651,082,930,002,048/425,394,984
  6. Step 6: Final answer
    x = 2,004,375,027.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.