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Finding the Third Proportional to 7,947,517 and 17,165,405

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Solution

The third proportional to 7,947,517 and 17,165,405 is: 37,074,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,517 : 17,165,405 = 17,165,405 : x
  2. Step 2: Convert to fraction form
    7,947,517/17,165,405 = 17,165,405/x
  3. Step 3: Cross multiply
    7,947,517x = 17,165,405 × 17,165,405
  4. Step 4: Simplify right side
    7,947,517x = 294,651,128,814,025
  5. Step 5: Solve for x
    x = 294,651,128,814,025/7,947,517
  6. Step 6: Final answer
    x = 37,074,614.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.