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Finding the Third Proportional to 13,307,666 and 27,097,696

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Solution

The third proportional to 13,307,666 and 27,097,696 is: 55,177,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307,666 : 27,097,696 = 27,097,696 : x
  2. Step 2: Convert to fraction form
    13,307,666/27,097,696 = 27,097,696/x
  3. Step 3: Cross multiply
    13,307,666x = 27,097,696 × 27,097,696
  4. Step 4: Simplify right side
    13,307,666x = 734,285,128,508,416
  5. Step 5: Solve for x
    x = 734,285,128,508,416/13,307,666
  6. Step 6: Final answer
    x = 55,177,604.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.