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Finding the Third Proportional to 33,675,510.75 and 72,739,789.50

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Solution

The third proportional to 33,675,510.75 and 72,739,789.50 is: 157,119,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,510.75 : 72,739,789.50 = 72,739,789.50 : x
  2. Step 2: Convert to fraction form
    33,675,510.75/72,739,789.50 = 72,739,789.50/x
  3. Step 3: Cross multiply
    33,675,510.75x = 72,739,789.50 × 72,739,789.50
  4. Step 4: Simplify right side
    33,675,510.75x = 5,291,076,976,504,310
  5. Step 5: Solve for x
    x = 5,291,076,976,504,310/33,675,510.75
  6. Step 6: Final answer
    x = 157,119,427.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.