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Finding the Third Proportional to 3,897,481,094 and 9,094,436,824

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Solution

The third proportional to 3,897,481,094 and 9,094,436,824 is: 21,221,085,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,481,094 : 9,094,436,824 = 9,094,436,824 : x
  2. Step 2: Convert to fraction form
    3,897,481,094/9,094,436,824 = 9,094,436,824/x
  3. Step 3: Cross multiply
    3,897,481,094x = 9,094,436,824 × 9,094,436,824
  4. Step 4: Simplify right side
    3,897,481,094x = 82,708,781,145,727,205,376
  5. Step 5: Solve for x
    x = 82,708,781,145,727,205,376/3,897,481,094
  6. Step 6: Final answer
    x = 21,221,085,914.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.