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Finding the Third Proportional to 3,297,489,912 and 7,111,525,824

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Solution

The third proportional to 3,297,489,912 and 7,111,525,824 is: 15,337,059,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,489,912 : 7,111,525,824 = 7,111,525,824 : x
  2. Step 2: Convert to fraction form
    3,297,489,912/7,111,525,824 = 7,111,525,824/x
  3. Step 3: Cross multiply
    3,297,489,912x = 7,111,525,824 × 7,111,525,824
  4. Step 4: Simplify right side
    3,297,489,912x = 50,573,799,545,418,874,880
  5. Step 5: Solve for x
    x = 50,573,799,545,418,874,880/3,297,489,912
  6. Step 6: Final answer
    x = 15,337,059,671.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.