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Finding the Third Proportional to 8,384,508 and 17,964,360

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Solution

The third proportional to 8,384,508 and 17,964,360 is: 38,489,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,508 : 17,964,360 = 17,964,360 : x
  2. Step 2: Convert to fraction form
    8,384,508/17,964,360 = 17,964,360/x
  3. Step 3: Cross multiply
    8,384,508x = 17,964,360 × 17,964,360
  4. Step 4: Simplify right side
    8,384,508x = 322,718,230,209,600
  5. Step 5: Solve for x
    x = 322,718,230,209,600/8,384,508
  6. Step 6: Final answer
    x = 38,489,823.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.