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Finding the Third Proportional to 2,334,682 and 5,112,231

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Solution

The third proportional to 2,334,682 and 5,112,231 is: 11,194,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334,682 : 5,112,231 = 5,112,231 : x
  2. Step 2: Convert to fraction form
    2,334,682/5,112,231 = 5,112,231/x
  3. Step 3: Cross multiply
    2,334,682x = 5,112,231 × 5,112,231
  4. Step 4: Simplify right side
    2,334,682x = 26,134,905,797,361
  5. Step 5: Solve for x
    x = 26,134,905,797,361/2,334,682
  6. Step 6: Final answer
    x = 11,194,203.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.