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Finding the Third Proportional to 6,543,939 and 13,997,670

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Solution

The third proportional to 6,543,939 and 13,997,670 is: 29,941,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,939 : 13,997,670 = 13,997,670 : x
  2. Step 2: Convert to fraction form
    6,543,939/13,997,670 = 13,997,670/x
  3. Step 3: Cross multiply
    6,543,939x = 13,997,670 × 13,997,670
  4. Step 4: Simplify right side
    6,543,939x = 195,934,765,428,900
  5. Step 5: Solve for x
    x = 195,934,765,428,900/6,543,939
  6. Step 6: Final answer
    x = 29,941,410.74

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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.