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Finding the Third Proportional to 270,723,913 and 412,431,085

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Solution

The third proportional to 270,723,913 and 412,431,085 is: 628,313,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,723,913 : 412,431,085 = 412,431,085 : x
  2. Step 2: Convert to fraction form
    270,723,913/412,431,085 = 412,431,085/x
  3. Step 3: Cross multiply
    270,723,913x = 412,431,085 × 412,431,085
  4. Step 4: Simplify right side
    270,723,913x = 170,099,399,874,277,216
  5. Step 5: Solve for x
    x = 170,099,399,874,277,216/270,723,913
  6. Step 6: Final answer
    x = 628,313,169.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.