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Finding the Third Proportional to 147,274,446 and 320,405,934

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Solution

The third proportional to 147,274,446 and 320,405,934 is: 697,065,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274,446 : 320,405,934 = 320,405,934 : x
  2. Step 2: Convert to fraction form
    147,274,446/320,405,934 = 320,405,934/x
  3. Step 3: Cross multiply
    147,274,446x = 320,405,934 × 320,405,934
  4. Step 4: Simplify right side
    147,274,446x = 102,659,962,542,412,352
  5. Step 5: Solve for x
    x = 102,659,962,542,412,352/147,274,446
  6. Step 6: Final answer
    x = 697,065,684.72

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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.