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Finding the Third Proportional to 332,320,678 and 723,158,910

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Solution

The third proportional to 332,320,678 and 723,158,910 is: 1,573,657,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,320,678 : 723,158,910 = 723,158,910 : x
  2. Step 2: Convert to fraction form
    332,320,678/723,158,910 = 723,158,910/x
  3. Step 3: Cross multiply
    332,320,678x = 723,158,910 × 723,158,910
  4. Step 4: Simplify right side
    332,320,678x = 522,958,809,112,388,096
  5. Step 5: Solve for x
    x = 522,958,809,112,388,096/332,320,678
  6. Step 6: Final answer
    x = 1,573,657,144.24

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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.