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Finding the Third Proportional to 8,122,830.50 and 17,839,751

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Solution

The third proportional to 8,122,830.50 and 17,839,751 is: 39,180,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,830.50 : 17,839,751 = 17,839,751 : x
  2. Step 2: Convert to fraction form
    8,122,830.50/17,839,751 = 17,839,751/x
  3. Step 3: Cross multiply
    8,122,830.50x = 17,839,751 × 17,839,751
  4. Step 4: Simplify right side
    8,122,830.50x = 318,256,715,742,001
  5. Step 5: Solve for x
    x = 318,256,715,742,001/8,122,830.50
  6. Step 6: Final answer
    x = 39,180,519.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.