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Finding the Third Proportional to 2,353,308 and 5,138,187

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Solution

The third proportional to 2,353,308 and 5,138,187 is: 11,218,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,308 : 5,138,187 = 5,138,187 : x
  2. Step 2: Convert to fraction form
    2,353,308/5,138,187 = 5,138,187/x
  3. Step 3: Cross multiply
    2,353,308x = 5,138,187 × 5,138,187
  4. Step 4: Simplify right side
    2,353,308x = 26,400,965,646,969
  5. Step 5: Solve for x
    x = 26,400,965,646,969/2,353,308
  6. Step 6: Final answer
    x = 11,218,661.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.