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Finding the Third Proportional to 35,180,208 and 53,816,616

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Solution

The third proportional to 35,180,208 and 53,816,616 is: 82,325,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180,208 : 53,816,616 = 53,816,616 : x
  2. Step 2: Convert to fraction form
    35,180,208/53,816,616 = 53,816,616/x
  3. Step 3: Cross multiply
    35,180,208x = 53,816,616 × 53,816,616
  4. Step 4: Simplify right side
    35,180,208x = 2,896,228,157,691,456
  5. Step 5: Solve for x
    x = 2,896,228,157,691,456/35,180,208
  6. Step 6: Final answer
    x = 82,325,498.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.