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Finding the Third Proportional to 379,629,121 and 591,638,697.50

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Solution

The third proportional to 379,629,121 and 591,638,697.50 is: 922,048,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,629,121 : 591,638,697.50 = 591,638,697.50 : x
  2. Step 2: Convert to fraction form
    379,629,121/591,638,697.50 = 591,638,697.50/x
  3. Step 3: Cross multiply
    379,629,121x = 591,638,697.50 × 591,638,697.50
  4. Step 4: Simplify right side
    379,629,121x = 350,036,348,379,496,512
  5. Step 5: Solve for x
    x = 350,036,348,379,496,512/379,629,121
  6. Step 6: Final answer
    x = 922,048,201.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.