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Finding the Third Proportional to 3,449,893,788 and 7,504,244,640

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Solution

The third proportional to 3,449,893,788 and 7,504,244,640 is: 16,323,310,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449,893,788 : 7,504,244,640 = 7,504,244,640 : x
  2. Step 2: Convert to fraction form
    3,449,893,788/7,504,244,640 = 7,504,244,640/x
  3. Step 3: Cross multiply
    3,449,893,788x = 7,504,244,640 × 7,504,244,640
  4. Step 4: Simplify right side
    3,449,893,788x = 56,313,687,616,968,728,576
  5. Step 5: Solve for x
    x = 56,313,687,616,968,728,576/3,449,893,788
  6. Step 6: Final answer
    x = 16,323,310,535.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.