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Finding the Third Proportional to 14,033,104 and 30,231,823

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Solution

The third proportional to 14,033,104 and 30,231,823 is: 65,129,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033,104 : 30,231,823 = 30,231,823 : x
  2. Step 2: Convert to fraction form
    14,033,104/30,231,823 = 30,231,823/x
  3. Step 3: Cross multiply
    14,033,104x = 30,231,823 × 30,231,823
  4. Step 4: Simplify right side
    14,033,104x = 913,963,121,903,329
  5. Step 5: Solve for x
    x = 913,963,121,903,329/14,033,104
  6. Step 6: Final answer
    x = 65,129,077.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.