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Finding the Third Proportional to 6,215,238 and 13,583,268

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Solution

The third proportional to 6,215,238 and 13,583,268 is: 29,685,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215,238 : 13,583,268 = 13,583,268 : x
  2. Step 2: Convert to fraction form
    6,215,238/13,583,268 = 13,583,268/x
  3. Step 3: Cross multiply
    6,215,238x = 13,583,268 × 13,583,268
  4. Step 4: Simplify right side
    6,215,238x = 184,505,169,559,824
  5. Step 5: Solve for x
    x = 184,505,169,559,824/6,215,238
  6. Step 6: Final answer
    x = 29,685,937.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.