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Finding the Third Proportional to 33,675,509.25 and 72,739,786.50

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Solution

The third proportional to 33,675,509.25 and 72,739,786.50 is: 157,119,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,509.25 : 72,739,786.50 = 72,739,786.50 : x
  2. Step 2: Convert to fraction form
    33,675,509.25/72,739,786.50 = 72,739,786.50/x
  3. Step 3: Cross multiply
    33,675,509.25x = 72,739,786.50 × 72,739,786.50
  4. Step 4: Simplify right side
    33,675,509.25x = 5,291,076,540,065,582
  5. Step 5: Solve for x
    x = 5,291,076,540,065,582/33,675,509.25
  6. Step 6: Final answer
    x = 157,119,421.74

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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.