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Finding the Third Proportional to 3,787,780 and 8,137,736

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Solution

The third proportional to 3,787,780 and 8,137,736 is: 17,483,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,780 : 8,137,736 = 8,137,736 : x
  2. Step 2: Convert to fraction form
    3,787,780/8,137,736 = 8,137,736/x
  3. Step 3: Cross multiply
    3,787,780x = 8,137,736 × 8,137,736
  4. Step 4: Simplify right side
    3,787,780x = 66,222,747,205,696
  5. Step 5: Solve for x
    x = 66,222,747,205,696/3,787,780
  6. Step 6: Final answer
    x = 17,483,261.23

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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.