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Finding the Third Proportional to 4,291,274 and 9,205,600

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Solution

The third proportional to 4,291,274 and 9,205,600 is: 19,747,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,274 : 9,205,600 = 9,205,600 : x
  2. Step 2: Convert to fraction form
    4,291,274/9,205,600 = 9,205,600/x
  3. Step 3: Cross multiply
    4,291,274x = 9,205,600 × 9,205,600
  4. Step 4: Simplify right side
    4,291,274x = 84,743,071,360,000
  5. Step 5: Solve for x
    x = 84,743,071,360,000/4,291,274
  6. Step 6: Final answer
    x = 19,747,765.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.