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Finding the Third Proportional to 2,334,138 and 5,066,634

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Solution

The third proportional to 2,334,138 and 5,066,634 is: 10,997,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334,138 : 5,066,634 = 5,066,634 : x
  2. Step 2: Convert to fraction form
    2,334,138/5,066,634 = 5,066,634/x
  3. Step 3: Cross multiply
    2,334,138x = 5,066,634 × 5,066,634
  4. Step 4: Simplify right side
    2,334,138x = 25,670,780,089,956
  5. Step 5: Solve for x
    x = 25,670,780,089,956/2,334,138
  6. Step 6: Final answer
    x = 10,997,970.17

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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.