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Finding the Third Proportional to 8,972,048 and 19,738,408

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Solution

The third proportional to 8,972,048 and 19,738,408 is: 43,424,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,048 : 19,738,408 = 19,738,408 : x
  2. Step 2: Convert to fraction form
    8,972,048/19,738,408 = 19,738,408/x
  3. Step 3: Cross multiply
    8,972,048x = 19,738,408 × 19,738,408
  4. Step 4: Simplify right side
    8,972,048x = 389,604,750,374,464
  5. Step 5: Solve for x
    x = 389,604,750,374,464/8,972,048
  6. Step 6: Final answer
    x = 43,424,282.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.