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Finding the Third Proportional to 14,379,960 and 31,299,216

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Solution

The third proportional to 14,379,960 and 31,299,216 is: 68,125,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379,960 : 31,299,216 = 31,299,216 : x
  2. Step 2: Convert to fraction form
    14,379,960/31,299,216 = 31,299,216/x
  3. Step 3: Cross multiply
    14,379,960x = 31,299,216 × 31,299,216
  4. Step 4: Simplify right side
    14,379,960x = 979,640,922,214,656
  5. Step 5: Solve for x
    x = 979,640,922,214,656/14,379,960
  6. Step 6: Final answer
    x = 68,125,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.