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Finding the Third Proportional to 6,691,264 and 14,245,664

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Solution

The third proportional to 6,691,264 and 14,245,664 is: 30,328,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691,264 : 14,245,664 = 14,245,664 : x
  2. Step 2: Convert to fraction form
    6,691,264/14,245,664 = 14,245,664/x
  3. Step 3: Cross multiply
    6,691,264x = 14,245,664 × 14,245,664
  4. Step 4: Simplify right side
    6,691,264x = 202,938,942,800,896
  5. Step 5: Solve for x
    x = 202,938,942,800,896/6,691,264
  6. Step 6: Final answer
    x = 30,328,939.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.