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Finding the Third Proportional to 30,017,223 and 65,523,694.50

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Solution

The third proportional to 30,017,223 and 65,523,694.50 is: 143,029,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,017,223 : 65,523,694.50 = 65,523,694.50 : x
  2. Step 2: Convert to fraction form
    30,017,223/65,523,694.50 = 65,523,694.50/x
  3. Step 3: Cross multiply
    30,017,223x = 65,523,694.50 × 65,523,694.50
  4. Step 4: Simplify right side
    30,017,223x = 4,293,354,540,929,330
  5. Step 5: Solve for x
    x = 4,293,354,540,929,330/30,017,223
  6. Step 6: Final answer
    x = 143,029,704.68

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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.