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Finding the Third Proportional to 12,200,312 and 16,265,172

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Solution

The third proportional to 12,200,312 and 16,265,172 is: 21,684,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200,312 : 16,265,172 = 16,265,172 : x
  2. Step 2: Convert to fraction form
    12,200,312/16,265,172 = 16,265,172/x
  3. Step 3: Cross multiply
    12,200,312x = 16,265,172 × 16,265,172
  4. Step 4: Simplify right side
    12,200,312x = 264,555,820,189,584
  5. Step 5: Solve for x
    x = 264,555,820,189,584/12,200,312
  6. Step 6: Final answer
    x = 21,684,348.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.