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Finding the Third Proportional to 10,624,162 and 23,230,170

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Solution

The third proportional to 10,624,162 and 23,230,170 is: 50,793,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,162 : 23,230,170 = 23,230,170 : x
  2. Step 2: Convert to fraction form
    10,624,162/23,230,170 = 23,230,170/x
  3. Step 3: Cross multiply
    10,624,162x = 23,230,170 × 23,230,170
  4. Step 4: Simplify right side
    10,624,162x = 539,640,798,228,900
  5. Step 5: Solve for x
    x = 539,640,798,228,900/10,624,162
  6. Step 6: Final answer
    x = 50,793,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.