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Finding the Third Proportional to 613,269,903.38 and 1,337,535,203.63

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Solution

The third proportional to 613,269,903.38 and 1,337,535,203.63 is: 2,917,150,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,269,903.38 : 1,337,535,203.63 = 1,337,535,203.63 : x
  2. Step 2: Convert to fraction form
    613,269,903.38/1,337,535,203.63 = 1,337,535,203.63/x
  3. Step 3: Cross multiply
    613,269,903.38x = 1,337,535,203.63 × 1,337,535,203.63
  4. Step 4: Simplify right side
    613,269,903.38x = 1,789,000,420,936,170,240
  5. Step 5: Solve for x
    x = 1,789,000,420,936,170,240/613,269,903.38
  6. Step 6: Final answer
    x = 2,917,150,199.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.