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Finding the Third Proportional to 13,959,594 and 20,954,162

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Solution

The third proportional to 13,959,594 and 20,954,162 is: 31,453,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959,594 : 20,954,162 = 20,954,162 : x
  2. Step 2: Convert to fraction form
    13,959,594/20,954,162 = 20,954,162/x
  3. Step 3: Cross multiply
    13,959,594x = 20,954,162 × 20,954,162
  4. Step 4: Simplify right side
    13,959,594x = 439,076,905,122,244
  5. Step 5: Solve for x
    x = 439,076,905,122,244/13,959,594
  6. Step 6: Final answer
    x = 31,453,415.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.