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Finding the Third Proportional to 4,142,614 and 9,002,296

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Solution

The third proportional to 4,142,614 and 9,002,296 is: 19,562,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,614 : 9,002,296 = 9,002,296 : x
  2. Step 2: Convert to fraction form
    4,142,614/9,002,296 = 9,002,296/x
  3. Step 3: Cross multiply
    4,142,614x = 9,002,296 × 9,002,296
  4. Step 4: Simplify right side
    4,142,614x = 81,041,333,271,616
  5. Step 5: Solve for x
    x = 81,041,333,271,616/4,142,614
  6. Step 6: Final answer
    x = 19,562,849.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.