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Finding the Third Proportional to 7,885,212 and 11,517,780

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Solution

The third proportional to 7,885,212 and 11,517,780 is: 16,823,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885,212 : 11,517,780 = 11,517,780 : x
  2. Step 2: Convert to fraction form
    7,885,212/11,517,780 = 11,517,780/x
  3. Step 3: Cross multiply
    7,885,212x = 11,517,780 × 11,517,780
  4. Step 4: Simplify right side
    7,885,212x = 132,659,256,128,400
  5. Step 5: Solve for x
    x = 132,659,256,128,400/7,885,212
  6. Step 6: Final answer
    x = 16,823,803.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.