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Finding the Third Proportional to 7,824,226 and 16,805,378

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Solution

The third proportional to 7,824,226 and 16,805,378 is: 36,095,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,226 : 16,805,378 = 16,805,378 : x
  2. Step 2: Convert to fraction form
    7,824,226/16,805,378 = 16,805,378/x
  3. Step 3: Cross multiply
    7,824,226x = 16,805,378 × 16,805,378
  4. Step 4: Simplify right side
    7,824,226x = 282,420,729,722,884
  5. Step 5: Solve for x
    x = 282,420,729,722,884/7,824,226
  6. Step 6: Final answer
    x = 36,095,676.39

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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.