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Finding the Third Proportional to 6,296,238 and 13,349,121.75

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Solution

The third proportional to 6,296,238 and 13,349,121.75 is: 28,302,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296,238 : 13,349,121.75 = 13,349,121.75 : x
  2. Step 2: Convert to fraction form
    6,296,238/13,349,121.75 = 13,349,121.75/x
  3. Step 3: Cross multiply
    6,296,238x = 13,349,121.75 × 13,349,121.75
  4. Step 4: Simplify right side
    6,296,238x = 178,199,051,496,323.06
  5. Step 5: Solve for x
    x = 178,199,051,496,323.06/6,296,238
  6. Step 6: Final answer
    x = 28,302,464.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.