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Finding the Third Proportional to 11,899,974 and 25,780,722

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Solution

The third proportional to 11,899,974 and 25,780,722 is: 55,852,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899,974 : 25,780,722 = 25,780,722 : x
  2. Step 2: Convert to fraction form
    11,899,974/25,780,722 = 25,780,722/x
  3. Step 3: Cross multiply
    11,899,974x = 25,780,722 × 25,780,722
  4. Step 4: Simplify right side
    11,899,974x = 664,645,626,841,284
  5. Step 5: Solve for x
    x = 664,645,626,841,284/11,899,974
  6. Step 6: Final answer
    x = 55,852,695.72

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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.