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Finding the Third Proportional to 10,662,384 and 23,026,824

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Solution

The third proportional to 10,662,384 and 23,026,824 is: 49,729,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662,384 : 23,026,824 = 23,026,824 : x
  2. Step 2: Convert to fraction form
    10,662,384/23,026,824 = 23,026,824/x
  3. Step 3: Cross multiply
    10,662,384x = 23,026,824 × 23,026,824
  4. Step 4: Simplify right side
    10,662,384x = 530,234,623,526,976
  5. Step 5: Solve for x
    x = 530,234,623,526,976/10,662,384
  6. Step 6: Final answer
    x = 49,729,462.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.