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Finding the Third Proportional to 14,463,825.75 and 30,889,245.38

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Solution

The third proportional to 14,463,825.75 and 30,889,245.38 is: 65,967,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463,825.75 : 30,889,245.38 = 30,889,245.38 : x
  2. Step 2: Convert to fraction form
    14,463,825.75/30,889,245.38 = 30,889,245.38/x
  3. Step 3: Cross multiply
    14,463,825.75x = 30,889,245.38 × 30,889,245.38
  4. Step 4: Simplify right side
    14,463,825.75x = 954,145,479,836,958.88
  5. Step 5: Solve for x
    x = 954,145,479,836,958.88/14,463,825.75
  6. Step 6: Final answer
    x = 65,967,711.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.