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Finding the Third Proportional to 10,105,589 and 15,533,181

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Solution

The third proportional to 10,105,589 and 15,533,181 is: 23,875,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,589 : 15,533,181 = 15,533,181 : x
  2. Step 2: Convert to fraction form
    10,105,589/15,533,181 = 15,533,181/x
  3. Step 3: Cross multiply
    10,105,589x = 15,533,181 × 15,533,181
  4. Step 4: Simplify right side
    10,105,589x = 241,279,711,978,761
  5. Step 5: Solve for x
    x = 241,279,711,978,761/10,105,589
  6. Step 6: Final answer
    x = 23,875,868.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.