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Finding the Third Proportional to 13,330,184 and 20,182,224

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Solution

The third proportional to 13,330,184 and 20,182,224 is: 30,556,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330,184 : 20,182,224 = 20,182,224 : x
  2. Step 2: Convert to fraction form
    13,330,184/20,182,224 = 20,182,224/x
  3. Step 3: Cross multiply
    13,330,184x = 20,182,224 × 20,182,224
  4. Step 4: Simplify right side
    13,330,184x = 407,322,165,586,176
  5. Step 5: Solve for x
    x = 407,322,165,586,176/13,330,184
  6. Step 6: Final answer
    x = 30,556,379.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.