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Finding the Third Proportional to 6,783,072 and 14,374,848

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Solution

The third proportional to 6,783,072 and 14,374,848 is: 30,463,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,072 : 14,374,848 = 14,374,848 : x
  2. Step 2: Convert to fraction form
    6,783,072/14,374,848 = 14,374,848/x
  3. Step 3: Cross multiply
    6,783,072x = 14,374,848 × 14,374,848
  4. Step 4: Simplify right side
    6,783,072x = 206,636,255,023,104
  5. Step 5: Solve for x
    x = 206,636,255,023,104/6,783,072
  6. Step 6: Final answer
    x = 30,463,520.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.