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Finding the Third Proportional to 8,104,486 and 17,293,723

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Solution

The third proportional to 8,104,486 and 17,293,723 is: 36,902,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104,486 : 17,293,723 = 17,293,723 : x
  2. Step 2: Convert to fraction form
    8,104,486/17,293,723 = 17,293,723/x
  3. Step 3: Cross multiply
    8,104,486x = 17,293,723 × 17,293,723
  4. Step 4: Simplify right side
    8,104,486x = 299,072,855,200,729
  5. Step 5: Solve for x
    x = 299,072,855,200,729/8,104,486
  6. Step 6: Final answer
    x = 36,902,137.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.