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Finding the Third Proportional to 672,585,691.50 and 946,736,138.25

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Solution

The third proportional to 672,585,691.50 and 946,736,138.25 is: 1,332,632,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,585,691.50 : 946,736,138.25 = 946,736,138.25 : x
  2. Step 2: Convert to fraction form
    672,585,691.50/946,736,138.25 = 946,736,138.25/x
  3. Step 3: Cross multiply
    672,585,691.50x = 946,736,138.25 × 946,736,138.25
  4. Step 4: Simplify right side
    672,585,691.50x = 896,309,315,468,523,136
  5. Step 5: Solve for x
    x = 896,309,315,468,523,136/672,585,691.50
  6. Step 6: Final answer
    x = 1,332,632,149.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.