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Finding the Third Proportional to 224,147,741 and 351,589,805.50

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Solution

The third proportional to 224,147,741 and 351,589,805.50 is: 551,490,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,147,741 : 351,589,805.50 = 351,589,805.50 : x
  2. Step 2: Convert to fraction form
    224,147,741/351,589,805.50 = 351,589,805.50/x
  3. Step 3: Cross multiply
    224,147,741x = 351,589,805.50 × 351,589,805.50
  4. Step 4: Simplify right side
    224,147,741x = 123,615,391,331,527,824
  5. Step 5: Solve for x
    x = 123,615,391,331,527,824/224,147,741
  6. Step 6: Final answer
    x = 551,490,685.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.