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Finding the Third Proportional to 21,969,346 and 47,844,324

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Solution

The third proportional to 21,969,346 and 47,844,324 is: 104,194,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969,346 : 47,844,324 = 47,844,324 : x
  2. Step 2: Convert to fraction form
    21,969,346/47,844,324 = 47,844,324/x
  3. Step 3: Cross multiply
    21,969,346x = 47,844,324 × 47,844,324
  4. Step 4: Simplify right side
    21,969,346x = 2,289,079,339,016,976
  5. Step 5: Solve for x
    x = 2,289,079,339,016,976/21,969,346
  6. Step 6: Final answer
    x = 104,194,241.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.