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Finding the Third Proportional to 14,448,029 and 19,811,917

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Solution

The third proportional to 14,448,029 and 19,811,917 is: 27,167,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448,029 : 19,811,917 = 19,811,917 : x
  2. Step 2: Convert to fraction form
    14,448,029/19,811,917 = 19,811,917/x
  3. Step 3: Cross multiply
    14,448,029x = 19,811,917 × 19,811,917
  4. Step 4: Simplify right side
    14,448,029x = 392,512,055,214,889
  5. Step 5: Solve for x
    x = 392,512,055,214,889/14,448,029
  6. Step 6: Final answer
    x = 27,167,169.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.