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Finding the Third Proportional to 8,489,469 and 18,323,364

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Solution

The third proportional to 8,489,469 and 18,323,364 is: 39,548,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489,469 : 18,323,364 = 18,323,364 : x
  2. Step 2: Convert to fraction form
    8,489,469/18,323,364 = 18,323,364/x
  3. Step 3: Cross multiply
    8,489,469x = 18,323,364 × 18,323,364
  4. Step 4: Simplify right side
    8,489,469x = 335,745,668,276,496
  5. Step 5: Solve for x
    x = 335,745,668,276,496/8,489,469
  6. Step 6: Final answer
    x = 39,548,488.64

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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.