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Finding the Third Proportional to 5,743,262 and 12,529,732

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Solution

The third proportional to 5,743,262 and 12,529,732 is: 27,335,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743,262 : 12,529,732 = 12,529,732 : x
  2. Step 2: Convert to fraction form
    5,743,262/12,529,732 = 12,529,732/x
  3. Step 3: Cross multiply
    5,743,262x = 12,529,732 × 12,529,732
  4. Step 4: Simplify right side
    5,743,262x = 156,994,183,991,824
  5. Step 5: Solve for x
    x = 156,994,183,991,824/5,743,262
  6. Step 6: Final answer
    x = 27,335,368.64

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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.