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Finding the Third Proportional to 10,719,144 and 23,365,584

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Solution

The third proportional to 10,719,144 and 23,365,584 is: 50,932,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719,144 : 23,365,584 = 23,365,584 : x
  2. Step 2: Convert to fraction form
    10,719,144/23,365,584 = 23,365,584/x
  3. Step 3: Cross multiply
    10,719,144x = 23,365,584 × 23,365,584
  4. Step 4: Simplify right side
    10,719,144x = 545,950,515,661,056
  5. Step 5: Solve for x
    x = 545,950,515,661,056/10,719,144
  6. Step 6: Final answer
    x = 50,932,286.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.