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Finding the Third Proportional to 9,485,924 and 20,770,696

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Solution

The third proportional to 9,485,924 and 20,770,696 is: 45,480,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485,924 : 20,770,696 = 20,770,696 : x
  2. Step 2: Convert to fraction form
    9,485,924/20,770,696 = 20,770,696/x
  3. Step 3: Cross multiply
    9,485,924x = 20,770,696 × 20,770,696
  4. Step 4: Simplify right side
    9,485,924x = 431,421,812,324,416
  5. Step 5: Solve for x
    x = 431,421,812,324,416/9,485,924
  6. Step 6: Final answer
    x = 45,480,209.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.