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Finding the Third Proportional to 3,384,792.56 and 7,143,197.63

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Solution

The third proportional to 3,384,792.56 and 7,143,197.63 is: 15,074,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,792.56 : 7,143,197.63 = 7,143,197.63 : x
  2. Step 2: Convert to fraction form
    3,384,792.56/7,143,197.63 = 7,143,197.63/x
  3. Step 3: Cross multiply
    3,384,792.56x = 7,143,197.63 × 7,143,197.63
  4. Step 4: Simplify right side
    3,384,792.56x = 51,025,272,309,805.64
  5. Step 5: Solve for x
    x = 51,025,272,309,805.64/3,384,792.56
  6. Step 6: Final answer
    x = 15,074,859.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.