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Finding the Third Proportional to 11,626,154 and 27,155,296

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Solution

The third proportional to 11,626,154 and 27,155,296 is: 63,426,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626,154 : 27,155,296 = 27,155,296 : x
  2. Step 2: Convert to fraction form
    11,626,154/27,155,296 = 27,155,296/x
  3. Step 3: Cross multiply
    11,626,154x = 27,155,296 × 27,155,296
  4. Step 4: Simplify right side
    11,626,154x = 737,410,100,847,616
  5. Step 5: Solve for x
    x = 737,410,100,847,616/11,626,154
  6. Step 6: Final answer
    x = 63,426,830.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.