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Finding the Third Proportional to 13,107,749.25 and 20,351,743.88

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Solution

The third proportional to 13,107,749.25 and 20,351,743.88 is: 31,599,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107,749.25 : 20,351,743.88 = 20,351,743.88 : x
  2. Step 2: Convert to fraction form
    13,107,749.25/20,351,743.88 = 20,351,743.88/x
  3. Step 3: Cross multiply
    13,107,749.25x = 20,351,743.88 × 20,351,743.88
  4. Step 4: Simplify right side
    13,107,749.25x = 414,193,478,753,600
  5. Step 5: Solve for x
    x = 414,193,478,753,600/13,107,749.25
  6. Step 6: Final answer
    x = 31,599,130.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.