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Finding the Third Proportional to 5,497,035 and 11,969,958

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Solution

The third proportional to 5,497,035 and 11,969,958 is: 26,064,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,035 : 11,969,958 = 11,969,958 : x
  2. Step 2: Convert to fraction form
    5,497,035/11,969,958 = 11,969,958/x
  3. Step 3: Cross multiply
    5,497,035x = 11,969,958 × 11,969,958
  4. Step 4: Simplify right side
    5,497,035x = 143,279,894,521,764
  5. Step 5: Solve for x
    x = 143,279,894,521,764/5,497,035
  6. Step 6: Final answer
    x = 26,064,941.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.