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Finding the Third Proportional to 9,748,273.50 and 13,627,986.75

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Solution

The third proportional to 9,748,273.50 and 13,627,986.75 is: 19,051,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,273.50 : 13,627,986.75 = 13,627,986.75 : x
  2. Step 2: Convert to fraction form
    9,748,273.50/13,627,986.75 = 13,627,986.75/x
  3. Step 3: Cross multiply
    9,748,273.50x = 13,627,986.75 × 13,627,986.75
  4. Step 4: Simplify right side
    9,748,273.50x = 185,722,022,858,175.56
  5. Step 5: Solve for x
    x = 185,722,022,858,175.56/9,748,273.50
  6. Step 6: Final answer
    x = 19,051,786.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.