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Finding the Third Proportional to 5,170,824 and 11,109,264

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Solution

The third proportional to 5,170,824 and 11,109,264 is: 23,867,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170,824 : 11,109,264 = 11,109,264 : x
  2. Step 2: Convert to fraction form
    5,170,824/11,109,264 = 11,109,264/x
  3. Step 3: Cross multiply
    5,170,824x = 11,109,264 × 11,109,264
  4. Step 4: Simplify right side
    5,170,824x = 123,415,746,621,696
  5. Step 5: Solve for x
    x = 123,415,746,621,696/5,170,824
  6. Step 6: Final answer
    x = 23,867,713.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.