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Finding the Third Proportional to 6,951,269 and 15,138,313

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Solution

The third proportional to 6,951,269 and 15,138,313 is: 32,967,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951,269 : 15,138,313 = 15,138,313 : x
  2. Step 2: Convert to fraction form
    6,951,269/15,138,313 = 15,138,313/x
  3. Step 3: Cross multiply
    6,951,269x = 15,138,313 × 15,138,313
  4. Step 4: Simplify right side
    6,951,269x = 229,168,520,485,969
  5. Step 5: Solve for x
    x = 229,168,520,485,969/6,951,269
  6. Step 6: Final answer
    x = 32,967,868.24

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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.