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Finding the Third Proportional to 13,897,498 and 21,544,993

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Solution

The third proportional to 13,897,498 and 21,544,993 is: 33,400,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897,498 : 21,544,993 = 21,544,993 : x
  2. Step 2: Convert to fraction form
    13,897,498/21,544,993 = 21,544,993/x
  3. Step 3: Cross multiply
    13,897,498x = 21,544,993 × 21,544,993
  4. Step 4: Simplify right side
    13,897,498x = 464,186,723,370,049
  5. Step 5: Solve for x
    x = 464,186,723,370,049/13,897,498
  6. Step 6: Final answer
    x = 33,400,740.43

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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.