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Finding the Third Proportional to 11,905,180 and 25,839,896

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Solution

The third proportional to 11,905,180 and 25,839,896 is: 56,084,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905,180 : 25,839,896 = 25,839,896 : x
  2. Step 2: Convert to fraction form
    11,905,180/25,839,896 = 25,839,896/x
  3. Step 3: Cross multiply
    11,905,180x = 25,839,896 × 25,839,896
  4. Step 4: Simplify right side
    11,905,180x = 667,700,225,290,816
  5. Step 5: Solve for x
    x = 667,700,225,290,816/11,905,180
  6. Step 6: Final answer
    x = 56,084,849.22

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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.