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Finding the Third Proportional to 6,583,977 and 15,859,821

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Solution

The third proportional to 6,583,977 and 15,859,821 is: 38,203,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583,977 : 15,859,821 = 15,859,821 : x
  2. Step 2: Convert to fraction form
    6,583,977/15,859,821 = 15,859,821/x
  3. Step 3: Cross multiply
    6,583,977x = 15,859,821 × 15,859,821
  4. Step 4: Simplify right side
    6,583,977x = 251,533,922,152,041
  5. Step 5: Solve for x
    x = 251,533,922,152,041/6,583,977
  6. Step 6: Final answer
    x = 38,203,949.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.