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Finding the Third Proportional to 6,169,844 and 13,286,848

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Solution

The third proportional to 6,169,844 and 13,286,848 is: 28,613,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,844 : 13,286,848 = 13,286,848 : x
  2. Step 2: Convert to fraction form
    6,169,844/13,286,848 = 13,286,848/x
  3. Step 3: Cross multiply
    6,169,844x = 13,286,848 × 13,286,848
  4. Step 4: Simplify right side
    6,169,844x = 176,540,329,775,104
  5. Step 5: Solve for x
    x = 176,540,329,775,104/6,169,844
  6. Step 6: Final answer
    x = 28,613,418.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.