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Finding the Third Proportional to 4,147,021 and 9,091,203

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Solution

The third proportional to 4,147,021 and 9,091,203 is: 19,929,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,021 : 9,091,203 = 9,091,203 : x
  2. Step 2: Convert to fraction form
    4,147,021/9,091,203 = 9,091,203/x
  3. Step 3: Cross multiply
    4,147,021x = 9,091,203 × 9,091,203
  4. Step 4: Simplify right side
    4,147,021x = 82,649,971,987,209
  5. Step 5: Solve for x
    x = 82,649,971,987,209/4,147,021
  6. Step 6: Final answer
    x = 19,929,962.25

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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.