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Finding the Third Proportional to 11,029,858 and 16,556,451

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Solution

The third proportional to 11,029,858 and 16,556,451 is: 24,852,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029,858 : 16,556,451 = 16,556,451 : x
  2. Step 2: Convert to fraction form
    11,029,858/16,556,451 = 16,556,451/x
  3. Step 3: Cross multiply
    11,029,858x = 16,556,451 × 16,556,451
  4. Step 4: Simplify right side
    11,029,858x = 274,116,069,715,401
  5. Step 5: Solve for x
    x = 274,116,069,715,401/11,029,858
  6. Step 6: Final answer
    x = 24,852,184.83

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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.