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Finding the Third Proportional to 3,002,938 and 6,478,268

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Solution

The third proportional to 3,002,938 and 6,478,268 is: 13,975,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,938 : 6,478,268 = 6,478,268 : x
  2. Step 2: Convert to fraction form
    3,002,938/6,478,268 = 6,478,268/x
  3. Step 3: Cross multiply
    3,002,938x = 6,478,268 × 6,478,268
  4. Step 4: Simplify right side
    3,002,938x = 41,967,956,279,824
  5. Step 5: Solve for x
    x = 41,967,956,279,824/3,002,938
  6. Step 6: Final answer
    x = 13,975,631.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.