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Finding the Third Proportional to 21,972,912 and 47,728,744

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Solution

The third proportional to 21,972,912 and 47,728,744 is: 103,674,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972,912 : 47,728,744 = 47,728,744 : x
  2. Step 2: Convert to fraction form
    21,972,912/47,728,744 = 47,728,744/x
  3. Step 3: Cross multiply
    21,972,912x = 47,728,744 × 47,728,744
  4. Step 4: Simplify right side
    21,972,912x = 2,278,033,003,817,536
  5. Step 5: Solve for x
    x = 2,278,033,003,817,536/21,972,912
  6. Step 6: Final answer
    x = 103,674,606.43

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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.