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Finding the Third Proportional to 4,512,238 and 9,743,776

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Solution

The third proportional to 4,512,238 and 9,743,776 is: 21,040,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512,238 : 9,743,776 = 9,743,776 : x
  2. Step 2: Convert to fraction form
    4,512,238/9,743,776 = 9,743,776/x
  3. Step 3: Cross multiply
    4,512,238x = 9,743,776 × 9,743,776
  4. Step 4: Simplify right side
    4,512,238x = 94,941,170,738,176
  5. Step 5: Solve for x
    x = 94,941,170,738,176/4,512,238
  6. Step 6: Final answer
    x = 21,040,816.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.