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Finding the Third Proportional to 21,969,326 and 47,844,292

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Solution

The third proportional to 21,969,326 and 47,844,292 is: 104,194,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969,326 : 47,844,292 = 47,844,292 : x
  2. Step 2: Convert to fraction form
    21,969,326/47,844,292 = 47,844,292/x
  3. Step 3: Cross multiply
    21,969,326x = 47,844,292 × 47,844,292
  4. Step 4: Simplify right side
    21,969,326x = 2,289,076,276,981,264
  5. Step 5: Solve for x
    x = 2,289,076,276,981,264/21,969,326
  6. Step 6: Final answer
    x = 104,194,196.81

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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.