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Finding the Third Proportional to 8,085,271.50 and 17,530,317

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Solution

The third proportional to 8,085,271.50 and 17,530,317 is: 38,008,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,271.50 : 17,530,317 = 17,530,317 : x
  2. Step 2: Convert to fraction form
    8,085,271.50/17,530,317 = 17,530,317/x
  3. Step 3: Cross multiply
    8,085,271.50x = 17,530,317 × 17,530,317
  4. Step 4: Simplify right side
    8,085,271.50x = 307,312,014,120,489
  5. Step 5: Solve for x
    x = 307,312,014,120,489/8,085,271.50
  6. Step 6: Final answer
    x = 38,008,867.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.