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Finding the Third Proportional to 14,474,489,204 and 31,512,048,880

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Solution

The third proportional to 14,474,489,204 and 31,512,048,880 is: 68,604,094,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474,489,204 : 31,512,048,880 = 31,512,048,880 : x
  2. Step 2: Convert to fraction form
    14,474,489,204/31,512,048,880 = 31,512,048,880/x
  3. Step 3: Cross multiply
    14,474,489,204x = 31,512,048,880 × 31,512,048,880
  4. Step 4: Simplify right side
    14,474,489,204x = 993,009,224,615,509,229,568
  5. Step 5: Solve for x
    x = 993,009,224,615,509,229,568/14,474,489,204
  6. Step 6: Final answer
    x = 68,604,094,460.28

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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.