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Finding the Third Proportional to 8,621,984 and 11,988,176

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Solution

The third proportional to 8,621,984 and 11,988,176 is: 16,668,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621,984 : 11,988,176 = 11,988,176 : x
  2. Step 2: Convert to fraction form
    8,621,984/11,988,176 = 11,988,176/x
  3. Step 3: Cross multiply
    8,621,984x = 11,988,176 × 11,988,176
  4. Step 4: Simplify right side
    8,621,984x = 143,716,363,806,976
  5. Step 5: Solve for x
    x = 143,716,363,806,976/8,621,984
  6. Step 6: Final answer
    x = 16,668,595.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.