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Finding the Third Proportional to 947,449,323 and 2,112,747,629.25

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Solution

The third proportional to 947,449,323 and 2,112,747,629.25 is: 4,711,283,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,449,323 : 2,112,747,629.25 = 2,112,747,629.25 : x
  2. Step 2: Convert to fraction form
    947,449,323/2,112,747,629.25 = 2,112,747,629.25/x
  3. Step 3: Cross multiply
    947,449,323x = 2,112,747,629.25 × 2,112,747,629.25
  4. Step 4: Simplify right side
    947,449,323x = 4,463,702,544,901,495,296
  5. Step 5: Solve for x
    x = 4,463,702,544,901,495,296/947,449,323
  6. Step 6: Final answer
    x = 4,711,283,692.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.