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Finding the Third Proportional to 4,163,623 and 9,284,595

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Solution

The third proportional to 4,163,623 and 9,284,595 is: 20,704,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,623 : 9,284,595 = 9,284,595 : x
  2. Step 2: Convert to fraction form
    4,163,623/9,284,595 = 9,284,595/x
  3. Step 3: Cross multiply
    4,163,623x = 9,284,595 × 9,284,595
  4. Step 4: Simplify right side
    4,163,623x = 86,203,704,314,025
  5. Step 5: Solve for x
    x = 86,203,704,314,025/4,163,623
  6. Step 6: Final answer
    x = 20,704,012.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.