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Finding the Third Proportional to 672,585,738.75 and 946,736,204.63

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Solution

The third proportional to 672,585,738.75 and 946,736,204.63 is: 1,332,632,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,585,738.75 : 946,736,204.63 = 946,736,204.63 : x
  2. Step 2: Convert to fraction form
    672,585,738.75/946,736,204.63 = 946,736,204.63/x
  3. Step 3: Cross multiply
    672,585,738.75x = 946,736,204.63 × 946,736,204.63
  4. Step 4: Simplify right side
    672,585,738.75x = 896,309,441,147,749,888
  5. Step 5: Solve for x
    x = 896,309,441,147,749,888/672,585,738.75
  6. Step 6: Final answer
    x = 1,332,632,242.27

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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.