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Finding the Third Proportional to 31,405,104 and 47,264,896

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Solution

The third proportional to 31,405,104 and 47,264,896 is: 71,133,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405,104 : 47,264,896 = 47,264,896 : x
  2. Step 2: Convert to fraction form
    31,405,104/47,264,896 = 47,264,896/x
  3. Step 3: Cross multiply
    31,405,104x = 47,264,896 × 47,264,896
  4. Step 4: Simplify right side
    31,405,104x = 2,233,970,393,890,816
  5. Step 5: Solve for x
    x = 2,233,970,393,890,816/31,405,104
  6. Step 6: Final answer
    x = 71,133,991.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.