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Finding the Third Proportional to 19,102,365.75 and 27,003,867

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Solution

The third proportional to 19,102,365.75 and 27,003,867 is: 38,173,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102,365.75 : 27,003,867 = 27,003,867 : x
  2. Step 2: Convert to fraction form
    19,102,365.75/27,003,867 = 27,003,867/x
  3. Step 3: Cross multiply
    19,102,365.75x = 27,003,867 × 27,003,867
  4. Step 4: Simplify right side
    19,102,365.75x = 729,208,832,953,689
  5. Step 5: Solve for x
    x = 729,208,832,953,689/19,102,365.75
  6. Step 6: Final answer
    x = 38,173,744.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.