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Finding the Third Proportional to 13,192,503 and 20,181,092.25

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Solution

The third proportional to 13,192,503 and 20,181,092.25 is: 30,871,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192,503 : 20,181,092.25 = 20,181,092.25 : x
  2. Step 2: Convert to fraction form
    13,192,503/20,181,092.25 = 20,181,092.25/x
  3. Step 3: Cross multiply
    13,192,503x = 20,181,092.25 × 20,181,092.25
  4. Step 4: Simplify right side
    13,192,503x = 407,276,484,403,010.06
  5. Step 5: Solve for x
    x = 407,276,484,403,010.06/13,192,503
  6. Step 6: Final answer
    x = 30,871,812.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.