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Finding the Third Proportional to 8,090,463 and 17,381,559

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Solution

The third proportional to 8,090,463 and 17,381,559 is: 37,342,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090,463 : 17,381,559 = 17,381,559 : x
  2. Step 2: Convert to fraction form
    8,090,463/17,381,559 = 17,381,559/x
  3. Step 3: Cross multiply
    8,090,463x = 17,381,559 × 17,381,559
  4. Step 4: Simplify right side
    8,090,463x = 302,118,593,270,481
  5. Step 5: Solve for x
    x = 302,118,593,270,481/8,090,463
  6. Step 6: Final answer
    x = 37,342,559.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.