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Finding the Third Proportional to 174,733,444 and 379,168,180

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Solution

The third proportional to 174,733,444 and 379,168,180 is: 822,787,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,733,444 : 379,168,180 = 379,168,180 : x
  2. Step 2: Convert to fraction form
    174,733,444/379,168,180 = 379,168,180/x
  3. Step 3: Cross multiply
    174,733,444x = 379,168,180 × 379,168,180
  4. Step 4: Simplify right side
    174,733,444x = 143,768,508,724,512,400
  5. Step 5: Solve for x
    x = 143,768,508,724,512,400/174,733,444
  6. Step 6: Final answer
    x = 822,787,586.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.