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Finding the Third Proportional to 11,761,928 and 25,478,641

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Solution

The third proportional to 11,761,928 and 25,478,641 is: 55,191,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,928 : 25,478,641 = 25,478,641 : x
  2. Step 2: Convert to fraction form
    11,761,928/25,478,641 = 25,478,641/x
  3. Step 3: Cross multiply
    11,761,928x = 25,478,641 × 25,478,641
  4. Step 4: Simplify right side
    11,761,928x = 649,161,147,206,881
  5. Step 5: Solve for x
    x = 649,161,147,206,881/11,761,928
  6. Step 6: Final answer
    x = 55,191,729.38

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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.