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Finding the Third Proportional to 10,295,211 and 22,383,222

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Solution

The third proportional to 10,295,211 and 22,383,222 is: 48,664,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295,211 : 22,383,222 = 22,383,222 : x
  2. Step 2: Convert to fraction form
    10,295,211/22,383,222 = 22,383,222/x
  3. Step 3: Cross multiply
    10,295,211x = 22,383,222 × 22,383,222
  4. Step 4: Simplify right side
    10,295,211x = 501,008,627,101,284
  5. Step 5: Solve for x
    x = 501,008,627,101,284/10,295,211
  6. Step 6: Final answer
    x = 48,664,240.79

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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.