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Finding the Third Proportional to 8,237,206.41 and 17,156,194.88

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Solution

The third proportional to 8,237,206.41 and 17,156,194.88 is: 35,732,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,206.41 : 17,156,194.88 = 17,156,194.88 : x
  2. Step 2: Convert to fraction form
    8,237,206.41/17,156,194.88 = 17,156,194.88/x
  3. Step 3: Cross multiply
    8,237,206.41x = 17,156,194.88 × 17,156,194.88
  4. Step 4: Simplify right side
    8,237,206.41x = 294,335,022,588,976.25
  5. Step 5: Solve for x
    x = 294,335,022,588,976.25/8,237,206.41
  6. Step 6: Final answer
    x = 35,732,384.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.