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Finding the Third Proportional to 22,770,120 and 35,219,199

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Solution

The third proportional to 22,770,120 and 35,219,199 is: 54,474,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770,120 : 35,219,199 = 35,219,199 : x
  2. Step 2: Convert to fraction form
    22,770,120/35,219,199 = 35,219,199/x
  3. Step 3: Cross multiply
    22,770,120x = 35,219,199 × 35,219,199
  4. Step 4: Simplify right side
    22,770,120x = 1,240,391,978,201,601
  5. Step 5: Solve for x
    x = 1,240,391,978,201,601/22,770,120
  6. Step 6: Final answer
    x = 54,474,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.