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Finding the Third Proportional to 667,493,604 and 981,949,834

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Solution

The third proportional to 667,493,604 and 981,949,834 is: 1,444,546,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,493,604 : 981,949,834 = 981,949,834 : x
  2. Step 2: Convert to fraction form
    667,493,604/981,949,834 = 981,949,834/x
  3. Step 3: Cross multiply
    667,493,604x = 981,949,834 × 981,949,834
  4. Step 4: Simplify right side
    667,493,604x = 964,225,476,492,627,584
  5. Step 5: Solve for x
    x = 964,225,476,492,627,584/667,493,604
  6. Step 6: Final answer
    x = 1,444,546,390.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.