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Finding the Third Proportional to 8,190,031.50 and 17,824,819.50

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Solution

The third proportional to 8,190,031.50 and 17,824,819.50 is: 38,794,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190,031.50 : 17,824,819.50 = 17,824,819.50 : x
  2. Step 2: Convert to fraction form
    8,190,031.50/17,824,819.50 = 17,824,819.50/x
  3. Step 3: Cross multiply
    8,190,031.50x = 17,824,819.50 × 17,824,819.50
  4. Step 4: Simplify right side
    8,190,031.50x = 317,724,190,207,580.25
  5. Step 5: Solve for x
    x = 317,724,190,207,580.25/8,190,031.50
  6. Step 6: Final answer
    x = 38,794,013.21

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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.