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Finding the Third Proportional to 3,285,816 and 7,057,362

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Solution

The third proportional to 3,285,816 and 7,057,362 is: 15,157,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,816 : 7,057,362 = 7,057,362 : x
  2. Step 2: Convert to fraction form
    3,285,816/7,057,362 = 7,057,362/x
  3. Step 3: Cross multiply
    3,285,816x = 7,057,362 × 7,057,362
  4. Step 4: Simplify right side
    3,285,816x = 49,806,358,399,044
  5. Step 5: Solve for x
    x = 49,806,358,399,044/3,285,816
  6. Step 6: Final answer
    x = 15,157,987.67

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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.