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Finding the Third Proportional to 30,496,828 and 66,965,624

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Solution

The third proportional to 30,496,828 and 66,965,624 is: 147,044,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496,828 : 66,965,624 = 66,965,624 : x
  2. Step 2: Convert to fraction form
    30,496,828/66,965,624 = 66,965,624/x
  3. Step 3: Cross multiply
    30,496,828x = 66,965,624 × 66,965,624
  4. Step 4: Simplify right side
    30,496,828x = 4,484,394,797,709,376
  5. Step 5: Solve for x
    x = 4,484,394,797,709,376/30,496,828
  6. Step 6: Final answer
    x = 147,044,630.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.