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Finding the Third Proportional to 30,647,569 and 66,675,936

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Solution

The third proportional to 30,647,569 and 66,675,936 is: 145,058,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647,569 : 66,675,936 = 66,675,936 : x
  2. Step 2: Convert to fraction form
    30,647,569/66,675,936 = 66,675,936/x
  3. Step 3: Cross multiply
    30,647,569x = 66,675,936 × 66,675,936
  4. Step 4: Simplify right side
    30,647,569x = 4,445,680,441,476,096
  5. Step 5: Solve for x
    x = 4,445,680,441,476,096/30,647,569
  6. Step 6: Final answer
    x = 145,058,175.46

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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.