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Finding the Third Proportional to 33,059,140 and 77,198,504

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Solution

The third proportional to 33,059,140 and 77,198,504 is: 180,271,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059,140 : 77,198,504 = 77,198,504 : x
  2. Step 2: Convert to fraction form
    33,059,140/77,198,504 = 77,198,504/x
  3. Step 3: Cross multiply
    33,059,140x = 77,198,504 × 77,198,504
  4. Step 4: Simplify right side
    33,059,140x = 5,959,609,019,838,016
  5. Step 5: Solve for x
    x = 5,959,609,019,838,016/33,059,140
  6. Step 6: Final answer
    x = 180,271,144.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.