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Finding the Third Proportional to 8,245,519.50 and 17,954,871

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Solution

The third proportional to 8,245,519.50 and 17,954,871 is: 39,097,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245,519.50 : 17,954,871 = 17,954,871 : x
  2. Step 2: Convert to fraction form
    8,245,519.50/17,954,871 = 17,954,871/x
  3. Step 3: Cross multiply
    8,245,519.50x = 17,954,871 × 17,954,871
  4. Step 4: Simplify right side
    8,245,519.50x = 322,377,392,626,641
  5. Step 5: Solve for x
    x = 322,377,392,626,641/8,245,519.50
  6. Step 6: Final answer
    x = 39,097,280.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.