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Finding the Third Proportional to 367,736,223,434 and 517,627,978,983

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Solution

The third proportional to 367,736,223,434 and 517,627,978,983 is: 728,616,621,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,736,223,434 : 517,627,978,983 = 517,627,978,983 : x
  2. Step 2: Convert to fraction form
    367,736,223,434/517,627,978,983 = 517,627,978,983/x
  3. Step 3: Cross multiply
    367,736,223,434x = 517,627,978,983 × 517,627,978,983
  4. Step 4: Simplify right side
    367,736,223,434x = 267,938,724,626,025,093,791,744
  5. Step 5: Solve for x
    x = 267,938,724,626,025,093,791,744/367,736,223,434
  6. Step 6: Final answer
    x = 728,616,621,239.96

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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.