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Finding the Third Proportional to 4,224,204 and 9,085,000.50

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Solution

The third proportional to 4,224,204 and 9,085,000.50 is: 19,539,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224,204 : 9,085,000.50 = 9,085,000.50 : x
  2. Step 2: Convert to fraction form
    4,224,204/9,085,000.50 = 9,085,000.50/x
  3. Step 3: Cross multiply
    4,224,204x = 9,085,000.50 × 9,085,000.50
  4. Step 4: Simplify right side
    4,224,204x = 82,537,234,085,000.25
  5. Step 5: Solve for x
    x = 82,537,234,085,000.25/4,224,204
  6. Step 6: Final answer
    x = 19,539,121.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.