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Finding the Third Proportional to 30,463,536 and 65,942,880

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Solution

The third proportional to 30,463,536 and 65,942,880 is: 142,743,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463,536 : 65,942,880 = 65,942,880 : x
  2. Step 2: Convert to fraction form
    30,463,536/65,942,880 = 65,942,880/x
  3. Step 3: Cross multiply
    30,463,536x = 65,942,880 × 65,942,880
  4. Step 4: Simplify right side
    30,463,536x = 4,348,463,422,694,400
  5. Step 5: Solve for x
    x = 4,348,463,422,694,400/30,463,536
  6. Step 6: Final answer
    x = 142,743,226.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.