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Finding the Third Proportional to 39,419,072 and 84,285,824

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Solution

The third proportional to 39,419,072 and 84,285,824 is: 180,219,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419,072 : 84,285,824 = 84,285,824 : x
  2. Step 2: Convert to fraction form
    39,419,072/84,285,824 = 84,285,824/x
  3. Step 3: Cross multiply
    39,419,072x = 84,285,824 × 84,285,824
  4. Step 4: Simplify right side
    39,419,072x = 7,104,100,127,358,976
  5. Step 5: Solve for x
    x = 7,104,100,127,358,976/39,419,072
  6. Step 6: Final answer
    x = 180,219,872.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.