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Finding the Third Proportional to 4,647,802.50 and 10,067,427

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Solution

The third proportional to 4,647,802.50 and 10,067,427 is: 21,806,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647,802.50 : 10,067,427 = 10,067,427 : x
  2. Step 2: Convert to fraction form
    4,647,802.50/10,067,427 = 10,067,427/x
  3. Step 3: Cross multiply
    4,647,802.50x = 10,067,427 × 10,067,427
  4. Step 4: Simplify right side
    4,647,802.50x = 101,353,086,400,329
  5. Step 5: Solve for x
    x = 101,353,086,400,329/4,647,802.50
  6. Step 6: Final answer
    x = 21,806,668.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.