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Finding the Third Proportional to 6,543,945 and 13,997,682

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Solution

The third proportional to 6,543,945 and 13,997,682 is: 29,941,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,945 : 13,997,682 = 13,997,682 : x
  2. Step 2: Convert to fraction form
    6,543,945/13,997,682 = 13,997,682/x
  3. Step 3: Cross multiply
    6,543,945x = 13,997,682 × 13,997,682
  4. Step 4: Simplify right side
    6,543,945x = 195,935,101,373,124
  5. Step 5: Solve for x
    x = 195,935,101,373,124/6,543,945
  6. Step 6: Final answer
    x = 29,941,434.62

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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.