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Finding the Third Proportional to 5,047,206 and 7,631,027

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Solution

The third proportional to 5,047,206 and 7,631,027 is: 11,537,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,206 : 7,631,027 = 7,631,027 : x
  2. Step 2: Convert to fraction form
    5,047,206/7,631,027 = 7,631,027/x
  3. Step 3: Cross multiply
    5,047,206x = 7,631,027 × 7,631,027
  4. Step 4: Simplify right side
    5,047,206x = 58,232,573,074,729
  5. Step 5: Solve for x
    x = 58,232,573,074,729/5,047,206
  6. Step 6: Final answer
    x = 11,537,585.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.