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Finding the Third Proportional to 12,105,616 and 17,986,922

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Solution

The third proportional to 12,105,616 and 17,986,922 is: 26,725,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105,616 : 17,986,922 = 17,986,922 : x
  2. Step 2: Convert to fraction form
    12,105,616/17,986,922 = 17,986,922/x
  3. Step 3: Cross multiply
    12,105,616x = 17,986,922 × 17,986,922
  4. Step 4: Simplify right side
    12,105,616x = 323,529,363,034,084
  5. Step 5: Solve for x
    x = 323,529,363,034,084/12,105,616
  6. Step 6: Final answer
    x = 26,725,559.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.