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Finding the Third Proportional to 19,375,997 and 45,674,652

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Solution

The third proportional to 19,375,997 and 45,674,652 is: 107,667,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,375,997 : 45,674,652 = 45,674,652 : x
  2. Step 2: Convert to fraction form
    19,375,997/45,674,652 = 45,674,652/x
  3. Step 3: Cross multiply
    19,375,997x = 45,674,652 × 45,674,652
  4. Step 4: Simplify right side
    19,375,997x = 2,086,173,835,321,104
  5. Step 5: Solve for x
    x = 2,086,173,835,321,104/19,375,997
  6. Step 6: Final answer
    x = 107,667,947.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.