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Finding the Third Proportional to 21,936,393 and 47,533,824

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Solution

The third proportional to 21,936,393 and 47,533,824 is: 103,000,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936,393 : 47,533,824 = 47,533,824 : x
  2. Step 2: Convert to fraction form
    21,936,393/47,533,824 = 47,533,824/x
  3. Step 3: Cross multiply
    21,936,393x = 47,533,824 × 47,533,824
  4. Step 4: Simplify right side
    21,936,393x = 2,259,464,424,062,976
  5. Step 5: Solve for x
    x = 2,259,464,424,062,976/21,936,393
  6. Step 6: Final answer
    x = 103,000,726.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.