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Finding the Third Proportional to 8,207,919 and 17,817,696

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Solution

The third proportional to 8,207,919 and 17,817,696 is: 38,678,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,919 : 17,817,696 = 17,817,696 : x
  2. Step 2: Convert to fraction form
    8,207,919/17,817,696 = 17,817,696/x
  3. Step 3: Cross multiply
    8,207,919x = 17,817,696 × 17,817,696
  4. Step 4: Simplify right side
    8,207,919x = 317,470,290,748,416
  5. Step 5: Solve for x
    x = 317,470,290,748,416/8,207,919
  6. Step 6: Final answer
    x = 38,678,536.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.