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Finding the Third Proportional to 3,738,486 and 8,106,824

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Solution

The third proportional to 3,738,486 and 8,106,824 is: 17,579,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738,486 : 8,106,824 = 8,106,824 : x
  2. Step 2: Convert to fraction form
    3,738,486/8,106,824 = 8,106,824/x
  3. Step 3: Cross multiply
    3,738,486x = 8,106,824 × 8,106,824
  4. Step 4: Simplify right side
    3,738,486x = 65,720,595,366,976
  5. Step 5: Solve for x
    x = 65,720,595,366,976/3,738,486
  6. Step 6: Final answer
    x = 17,579,468.10

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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.