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Finding the Third Proportional to 6,356,471 and 13,901,271

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Solution

The third proportional to 6,356,471 and 13,901,271 is: 30,401,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356,471 : 13,901,271 = 13,901,271 : x
  2. Step 2: Convert to fraction form
    6,356,471/13,901,271 = 13,901,271/x
  3. Step 3: Cross multiply
    6,356,471x = 13,901,271 × 13,901,271
  4. Step 4: Simplify right side
    6,356,471x = 193,245,335,415,441
  5. Step 5: Solve for x
    x = 193,245,335,415,441/6,356,471
  6. Step 6: Final answer
    x = 30,401,355.63

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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.