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Finding the Third Proportional to 8,151,936 and 16,657,824

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Solution

The third proportional to 8,151,936 and 16,657,824 is: 34,038,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151,936 : 16,657,824 = 16,657,824 : x
  2. Step 2: Convert to fraction form
    8,151,936/16,657,824 = 16,657,824/x
  3. Step 3: Cross multiply
    8,151,936x = 16,657,824 × 16,657,824
  4. Step 4: Simplify right side
    8,151,936x = 277,483,100,414,976
  5. Step 5: Solve for x
    x = 277,483,100,414,976/8,151,936
  6. Step 6: Final answer
    x = 34,038,920.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.