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Finding the Third Proportional to 367,736,223,456 and 517,627,979,016

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Solution

The third proportional to 367,736,223,456 and 517,627,979,016 is: 728,616,621,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,736,223,456 : 517,627,979,016 = 517,627,979,016 : x
  2. Step 2: Convert to fraction form
    367,736,223,456/517,627,979,016 = 517,627,979,016/x
  3. Step 3: Cross multiply
    367,736,223,456x = 517,627,979,016 × 517,627,979,016
  4. Step 4: Simplify right side
    367,736,223,456x = 267,938,724,660,188,538,732,544
  5. Step 5: Solve for x
    x = 267,938,724,660,188,538,732,544/367,736,223,456
  6. Step 6: Final answer
    x = 728,616,621,289.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.