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Finding the Third Proportional to 39,056,503 and 83,493,616

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Solution

The third proportional to 39,056,503 and 83,493,616 is: 178,489,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,056,503 : 83,493,616 = 83,493,616 : x
  2. Step 2: Convert to fraction form
    39,056,503/83,493,616 = 83,493,616/x
  3. Step 3: Cross multiply
    39,056,503x = 83,493,616 × 83,493,616
  4. Step 4: Simplify right side
    39,056,503x = 6,971,183,912,755,456
  5. Step 5: Solve for x
    x = 6,971,183,912,755,456/39,056,503
  6. Step 6: Final answer
    x = 178,489,710.48

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