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Finding the Third Proportional to 33,943,764 and 75,570,462

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Solution

The third proportional to 33,943,764 and 75,570,462 is: 168,245,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,943,764 : 75,570,462 = 75,570,462 : x
  2. Step 2: Convert to fraction form
    33,943,764/75,570,462 = 75,570,462/x
  3. Step 3: Cross multiply
    33,943,764x = 75,570,462 × 75,570,462
  4. Step 4: Simplify right side
    33,943,764x = 5,710,894,726,893,444
  5. Step 5: Solve for x
    x = 5,710,894,726,893,444/33,943,764
  6. Step 6: Final answer
    x = 168,245,770.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.