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Finding the Third Proportional to 10,149,744 and 21,883,932

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Solution

The third proportional to 10,149,744 and 21,883,932 is: 47,184,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,744 : 21,883,932 = 21,883,932 : x
  2. Step 2: Convert to fraction form
    10,149,744/21,883,932 = 21,883,932/x
  3. Step 3: Cross multiply
    10,149,744x = 21,883,932 × 21,883,932
  4. Step 4: Simplify right side
    10,149,744x = 478,906,479,780,624
  5. Step 5: Solve for x
    x = 478,906,479,780,624/10,149,744
  6. Step 6: Final answer
    x = 47,184,094.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.