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Finding the Third Proportional to 6,168,503 and 13,365,616

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Solution

The third proportional to 6,168,503 and 13,365,616 is: 28,959,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,503 : 13,365,616 = 13,365,616 : x
  2. Step 2: Convert to fraction form
    6,168,503/13,365,616 = 13,365,616/x
  3. Step 3: Cross multiply
    6,168,503x = 13,365,616 × 13,365,616
  4. Step 4: Simplify right side
    6,168,503x = 178,639,691,059,456
  5. Step 5: Solve for x
    x = 178,639,691,059,456/6,168,503
  6. Step 6: Final answer
    x = 28,959,974.74

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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.