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Finding the Third Proportional to 2,969,819.44 and 7,152,100.03

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Solution

The third proportional to 2,969,819.44 and 7,152,100.03 is: 17,224,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,819.44 : 7,152,100.03 = 7,152,100.03 : x
  2. Step 2: Convert to fraction form
    2,969,819.44/7,152,100.03 = 7,152,100.03/x
  3. Step 3: Cross multiply
    2,969,819.44x = 7,152,100.03 × 7,152,100.03
  4. Step 4: Simplify right side
    2,969,819.44x = 51,152,534,857,006.25
  5. Step 5: Solve for x
    x = 51,152,534,857,006.25/2,969,819.44
  6. Step 6: Final answer
    x = 17,224,122.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.