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Finding the Third Proportional to 9,111,168 and 19,246,824

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Solution

The third proportional to 9,111,168 and 19,246,824 is: 40,657,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111,168 : 19,246,824 = 19,246,824 : x
  2. Step 2: Convert to fraction form
    9,111,168/19,246,824 = 19,246,824/x
  3. Step 3: Cross multiply
    9,111,168x = 19,246,824 × 19,246,824
  4. Step 4: Simplify right side
    9,111,168x = 370,440,234,086,976
  5. Step 5: Solve for x
    x = 370,440,234,086,976/9,111,168
  6. Step 6: Final answer
    x = 40,657,820.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.