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Finding the Third Proportional to 10,199,910 and 22,194,240

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Solution

The third proportional to 10,199,910 and 22,194,240 is: 48,293,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,910 : 22,194,240 = 22,194,240 : x
  2. Step 2: Convert to fraction form
    10,199,910/22,194,240 = 22,194,240/x
  3. Step 3: Cross multiply
    10,199,910x = 22,194,240 × 22,194,240
  4. Step 4: Simplify right side
    10,199,910x = 492,584,289,177,600
  5. Step 5: Solve for x
    x = 492,584,289,177,600/10,199,910
  6. Step 6: Final answer
    x = 48,293,003.49

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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.