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Finding the Third Proportional to 33,844,998 and 51,560,649

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Solution

The third proportional to 33,844,998 and 51,560,649 is: 78,549,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844,998 : 51,560,649 = 51,560,649 : x
  2. Step 2: Convert to fraction form
    33,844,998/51,560,649 = 51,560,649/x
  3. Step 3: Cross multiply
    33,844,998x = 51,560,649 × 51,560,649
  4. Step 4: Simplify right side
    33,844,998x = 2,658,500,525,301,201
  5. Step 5: Solve for x
    x = 2,658,500,525,301,201/33,844,998
  6. Step 6: Final answer
    x = 78,549,288.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.