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Finding the Third Proportional to 152,882,512 and 332,637,440

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Solution

The third proportional to 152,882,512 and 332,637,440 is: 723,743,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882,512 : 332,637,440 = 332,637,440 : x
  2. Step 2: Convert to fraction form
    152,882,512/332,637,440 = 332,637,440/x
  3. Step 3: Cross multiply
    152,882,512x = 332,637,440 × 332,637,440
  4. Step 4: Simplify right side
    152,882,512x = 110,647,666,489,753,600
  5. Step 5: Solve for x
    x = 110,647,666,489,753,600/152,882,512
  6. Step 6: Final answer
    x = 723,743,121.71

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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.