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Finding the Third Proportional to 6,543,941 and 13,997,674

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Solution

The third proportional to 6,543,941 and 13,997,674 is: 29,941,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,941 : 13,997,674 = 13,997,674 : x
  2. Step 2: Convert to fraction form
    6,543,941/13,997,674 = 13,997,674/x
  3. Step 3: Cross multiply
    6,543,941x = 13,997,674 × 13,997,674
  4. Step 4: Simplify right side
    6,543,941x = 195,934,877,410,276
  5. Step 5: Solve for x
    x = 195,934,877,410,276/6,543,941
  6. Step 6: Final answer
    x = 29,941,418.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.