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Finding the Third Proportional to 515,816,120 and 1,132,965,678

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Solution

The third proportional to 515,816,120 and 1,132,965,678 is: 2,488,505,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,816,120 : 1,132,965,678 = 1,132,965,678 : x
  2. Step 2: Convert to fraction form
    515,816,120/1,132,965,678 = 1,132,965,678/x
  3. Step 3: Cross multiply
    515,816,120x = 1,132,965,678 × 1,132,965,678
  4. Step 4: Simplify right side
    515,816,120x = 1,283,611,227,525,999,616
  5. Step 5: Solve for x
    x = 1,283,611,227,525,999,616/515,816,120
  6. Step 6: Final answer
    x = 2,488,505,453.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.