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Finding the Third Proportional to 5,346,972 and 11,546,226

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Solution

The third proportional to 5,346,972 and 11,546,226 is: 24,932,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,972 : 11,546,226 = 11,546,226 : x
  2. Step 2: Convert to fraction form
    5,346,972/11,546,226 = 11,546,226/x
  3. Step 3: Cross multiply
    5,346,972x = 11,546,226 × 11,546,226
  4. Step 4: Simplify right side
    5,346,972x = 133,315,334,843,076
  5. Step 5: Solve for x
    x = 133,315,334,843,076/5,346,972
  6. Step 6: Final answer
    x = 24,932,865.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.