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Finding the Third Proportional to 599,693,881.50 and 1,337,198,662.13

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Solution

The third proportional to 599,693,881.50 and 1,337,198,662.13 is: 2,981,688,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,693,881.50 : 1,337,198,662.13 = 1,337,198,662.13 : x
  2. Step 2: Convert to fraction form
    599,693,881.50/1,337,198,662.13 = 1,337,198,662.13/x
  3. Step 3: Cross multiply
    599,693,881.50x = 1,337,198,662.13 × 1,337,198,662.13
  4. Step 4: Simplify right side
    599,693,881.50x = 1,788,100,261,988,889,856
  5. Step 5: Solve for x
    x = 1,788,100,261,988,889,856/599,693,881.50
  6. Step 6: Final answer
    x = 2,981,688,353.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.