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Finding the Third Proportional to 13,028,361 and 19,163,214

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Solution

The third proportional to 13,028,361 and 19,163,214 is: 28,186,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028,361 : 19,163,214 = 19,163,214 : x
  2. Step 2: Convert to fraction form
    13,028,361/19,163,214 = 19,163,214/x
  3. Step 3: Cross multiply
    13,028,361x = 19,163,214 × 19,163,214
  4. Step 4: Simplify right side
    13,028,361x = 367,228,770,809,796
  5. Step 5: Solve for x
    x = 367,228,770,809,796/13,028,361
  6. Step 6: Final answer
    x = 28,186,874.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.