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Finding the Third Proportional to 11,934,119 and 17,677,416

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Solution

The third proportional to 11,934,119 and 17,677,416 is: 26,184,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934,119 : 17,677,416 = 17,677,416 : x
  2. Step 2: Convert to fraction form
    11,934,119/17,677,416 = 17,677,416/x
  3. Step 3: Cross multiply
    11,934,119x = 17,677,416 × 17,677,416
  4. Step 4: Simplify right side
    11,934,119x = 312,491,036,437,056
  5. Step 5: Solve for x
    x = 312,491,036,437,056/11,934,119
  6. Step 6: Final answer
    x = 26,184,675.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.