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Finding the Third Proportional to 3,285,824 and 7,057,376

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Solution

The third proportional to 3,285,824 and 7,057,376 is: 15,158,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,824 : 7,057,376 = 7,057,376 : x
  2. Step 2: Convert to fraction form
    3,285,824/7,057,376 = 7,057,376/x
  3. Step 3: Cross multiply
    3,285,824x = 7,057,376 × 7,057,376
  4. Step 4: Simplify right side
    3,285,824x = 49,806,556,005,376
  5. Step 5: Solve for x
    x = 49,806,556,005,376/3,285,824
  6. Step 6: Final answer
    x = 15,158,010.90

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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.