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Finding the Third Proportional to 6,965,717 and 14,774,269

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Solution

The third proportional to 6,965,717 and 14,774,269 is: 31,336,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,717 : 14,774,269 = 14,774,269 : x
  2. Step 2: Convert to fraction form
    6,965,717/14,774,269 = 14,774,269/x
  3. Step 3: Cross multiply
    6,965,717x = 14,774,269 × 14,774,269
  4. Step 4: Simplify right side
    6,965,717x = 218,279,024,484,361
  5. Step 5: Solve for x
    x = 218,279,024,484,361/6,965,717
  6. Step 6: Final answer
    x = 31,336,189.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.