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Finding the Third Proportional to 10,270,224 and 21,997,800

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Solution

The third proportional to 10,270,224 and 21,997,800 is: 47,117,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270,224 : 21,997,800 = 21,997,800 : x
  2. Step 2: Convert to fraction form
    10,270,224/21,997,800 = 21,997,800/x
  3. Step 3: Cross multiply
    10,270,224x = 21,997,800 × 21,997,800
  4. Step 4: Simplify right side
    10,270,224x = 483,903,204,840,000
  5. Step 5: Solve for x
    x = 483,903,204,840,000/10,270,224
  6. Step 6: Final answer
    x = 47,117,103.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.