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Finding the Third Proportional to 4,676,378 and 10,048,954

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Solution

The third proportional to 4,676,378 and 10,048,954 is: 21,593,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,378 : 10,048,954 = 10,048,954 : x
  2. Step 2: Convert to fraction form
    4,676,378/10,048,954 = 10,048,954/x
  3. Step 3: Cross multiply
    4,676,378x = 10,048,954 × 10,048,954
  4. Step 4: Simplify right side
    4,676,378x = 100,981,476,494,116
  5. Step 5: Solve for x
    x = 100,981,476,494,116/4,676,378
  6. Step 6: Final answer
    x = 21,593,950.81

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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.