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Finding the Third Proportional to 6,863,467 and 14,922,134

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Solution

The third proportional to 6,863,467 and 14,922,134 is: 32,442,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,467 : 14,922,134 = 14,922,134 : x
  2. Step 2: Convert to fraction form
    6,863,467/14,922,134 = 14,922,134/x
  3. Step 3: Cross multiply
    6,863,467x = 14,922,134 × 14,922,134
  4. Step 4: Simplify right side
    6,863,467x = 222,670,083,113,956
  5. Step 5: Solve for x
    x = 222,670,083,113,956/6,863,467
  6. Step 6: Final answer
    x = 32,442,799.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.