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Finding the Third Proportional to 12,401,563 and 18,614,707

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Solution

The third proportional to 12,401,563 and 18,614,707 is: 27,940,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401,563 : 18,614,707 = 18,614,707 : x
  2. Step 2: Convert to fraction form
    12,401,563/18,614,707 = 18,614,707/x
  3. Step 3: Cross multiply
    12,401,563x = 18,614,707 × 18,614,707
  4. Step 4: Simplify right side
    12,401,563x = 346,507,316,695,849
  5. Step 5: Solve for x
    x = 346,507,316,695,849/12,401,563
  6. Step 6: Final answer
    x = 27,940,616.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.