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Finding the Third Proportional to 13,897,497 and 21,544,990

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Solution

The third proportional to 13,897,497 and 21,544,990 is: 33,400,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897,497 : 21,544,990 = 21,544,990 : x
  2. Step 2: Convert to fraction form
    13,897,497/21,544,990 = 21,544,990/x
  3. Step 3: Cross multiply
    13,897,497x = 21,544,990 × 21,544,990
  4. Step 4: Simplify right side
    13,897,497x = 464,186,594,100,100
  5. Step 5: Solve for x
    x = 464,186,594,100,100/13,897,497
  6. Step 6: Final answer
    x = 33,400,733.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.