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Finding the Third Proportional to 10,883,824 and 23,727,296

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Solution

The third proportional to 10,883,824 and 23,727,296 is: 51,726,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883,824 : 23,727,296 = 23,727,296 : x
  2. Step 2: Convert to fraction form
    10,883,824/23,727,296 = 23,727,296/x
  3. Step 3: Cross multiply
    10,883,824x = 23,727,296 × 23,727,296
  4. Step 4: Simplify right side
    10,883,824x = 562,984,575,471,616
  5. Step 5: Solve for x
    x = 562,984,575,471,616/10,883,824
  6. Step 6: Final answer
    x = 51,726,725.41

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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.