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Finding the Third Proportional to 8,407,299 and 17,485,566

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Solution

The third proportional to 8,407,299 and 17,485,566 is: 36,366,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,299 : 17,485,566 = 17,485,566 : x
  2. Step 2: Convert to fraction form
    8,407,299/17,485,566 = 17,485,566/x
  3. Step 3: Cross multiply
    8,407,299x = 17,485,566 × 17,485,566
  4. Step 4: Simplify right side
    8,407,299x = 305,745,018,340,356
  5. Step 5: Solve for x
    x = 305,745,018,340,356/8,407,299
  6. Step 6: Final answer
    x = 36,366,616.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.