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Finding the Third Proportional to 923,468,648 and 2,031,629,194

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Solution

The third proportional to 923,468,648 and 2,031,629,194 is: 4,469,580,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,468,648 : 2,031,629,194 = 2,031,629,194 : x
  2. Step 2: Convert to fraction form
    923,468,648/2,031,629,194 = 2,031,629,194/x
  3. Step 3: Cross multiply
    923,468,648x = 2,031,629,194 × 2,031,629,194
  4. Step 4: Simplify right side
    923,468,648x = 4,127,517,181,913,089,536
  5. Step 5: Solve for x
    x = 4,127,517,181,913,089,536/923,468,648
  6. Step 6: Final answer
    x = 4,469,580,197.28

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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.