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Finding the Third Proportional to 4,040,397,792 and 9,440,192,349

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Solution

The third proportional to 4,040,397,792 and 9,440,192,349 is: 22,056,548,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040,397,792 : 9,440,192,349 = 9,440,192,349 : x
  2. Step 2: Convert to fraction form
    4,040,397,792/9,440,192,349 = 9,440,192,349/x
  3. Step 3: Cross multiply
    4,040,397,792x = 9,440,192,349 × 9,440,192,349
  4. Step 4: Simplify right side
    4,040,397,792x = 89,117,231,586,118,139,904
  5. Step 5: Solve for x
    x = 89,117,231,586,118,139,904/4,040,397,792
  6. Step 6: Final answer
    x = 22,056,548,927.58

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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.