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Finding the Third Proportional to 337,224,638.25 and 505,836,923.63

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Solution

The third proportional to 337,224,638.25 and 505,836,923.63 is: 758,755,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,224,638.25 : 505,836,923.63 = 505,836,923.63 : x
  2. Step 2: Convert to fraction form
    337,224,638.25/505,836,923.63 = 505,836,923.63/x
  3. Step 3: Cross multiply
    337,224,638.25x = 505,836,923.63 × 505,836,923.63
  4. Step 4: Simplify right side
    337,224,638.25x = 255,870,993,302,404,096
  5. Step 5: Solve for x
    x = 255,870,993,302,404,096/337,224,638.25
  6. Step 6: Final answer
    x = 758,755,334.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.