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Finding the Third Proportional to 12,669,314 and 17,212,823

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Solution

The third proportional to 12,669,314 and 17,212,823 is: 23,385,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669,314 : 17,212,823 = 17,212,823 : x
  2. Step 2: Convert to fraction form
    12,669,314/17,212,823 = 17,212,823/x
  3. Step 3: Cross multiply
    12,669,314x = 17,212,823 × 17,212,823
  4. Step 4: Simplify right side
    12,669,314x = 296,281,275,629,329
  5. Step 5: Solve for x
    x = 296,281,275,629,329/12,669,314
  6. Step 6: Final answer
    x = 23,385,739.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.