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Finding the Third Proportional to 9,223,849 and 20,185,268

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Solution

The third proportional to 9,223,849 and 20,185,268 is: 44,172,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,849 : 20,185,268 = 20,185,268 : x
  2. Step 2: Convert to fraction form
    9,223,849/20,185,268 = 20,185,268/x
  3. Step 3: Cross multiply
    9,223,849x = 20,185,268 × 20,185,268
  4. Step 4: Simplify right side
    9,223,849x = 407,445,044,231,824
  5. Step 5: Solve for x
    x = 407,445,044,231,824/9,223,849
  6. Step 6: Final answer
    x = 44,172,995.92

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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.