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Finding the Third Proportional to 13,897,115 and 20,048,419

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Solution

The third proportional to 13,897,115 and 20,048,419 is: 28,922,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897,115 : 20,048,419 = 20,048,419 : x
  2. Step 2: Convert to fraction form
    13,897,115/20,048,419 = 20,048,419/x
  3. Step 3: Cross multiply
    13,897,115x = 20,048,419 × 20,048,419
  4. Step 4: Simplify right side
    13,897,115x = 401,939,104,399,561
  5. Step 5: Solve for x
    x = 401,939,104,399,561/13,897,115
  6. Step 6: Final answer
    x = 28,922,485.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.