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Finding the Third Proportional to 11,184,544 and 24,462,432

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Solution

The third proportional to 11,184,544 and 24,462,432 is: 53,503,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184,544 : 24,462,432 = 24,462,432 : x
  2. Step 2: Convert to fraction form
    11,184,544/24,462,432 = 24,462,432/x
  3. Step 3: Cross multiply
    11,184,544x = 24,462,432 × 24,462,432
  4. Step 4: Simplify right side
    11,184,544x = 598,410,579,354,624
  5. Step 5: Solve for x
    x = 598,410,579,354,624/11,184,544
  6. Step 6: Final answer
    x = 53,503,350.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.