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Finding the Third Proportional to 13,924,471 and 21,286,928

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Solution

The third proportional to 13,924,471 and 21,286,928 is: 32,542,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924,471 : 21,286,928 = 21,286,928 : x
  2. Step 2: Convert to fraction form
    13,924,471/21,286,928 = 21,286,928/x
  3. Step 3: Cross multiply
    13,924,471x = 21,286,928 × 21,286,928
  4. Step 4: Simplify right side
    13,924,471x = 453,133,303,677,184
  5. Step 5: Solve for x
    x = 453,133,303,677,184/13,924,471
  6. Step 6: Final answer
    x = 32,542,227.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.