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Finding the Third Proportional to 9,170,649 and 19,433,718

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Solution

The third proportional to 9,170,649 and 19,433,718 is: 41,182,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170,649 : 19,433,718 = 19,433,718 : x
  2. Step 2: Convert to fraction form
    9,170,649/19,433,718 = 19,433,718/x
  3. Step 3: Cross multiply
    9,170,649x = 19,433,718 × 19,433,718
  4. Step 4: Simplify right side
    9,170,649x = 377,669,395,303,524
  5. Step 5: Solve for x
    x = 377,669,395,303,524/9,170,649
  6. Step 6: Final answer
    x = 41,182,406.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.