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Finding the Third Proportional to 33,696,576 and 72,772,832

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Solution

The third proportional to 33,696,576 and 72,772,832 is: 157,163,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,696,576 : 72,772,832 = 72,772,832 : x
  2. Step 2: Convert to fraction form
    33,696,576/72,772,832 = 72,772,832/x
  3. Step 3: Cross multiply
    33,696,576x = 72,772,832 × 72,772,832
  4. Step 4: Simplify right side
    33,696,576x = 5,295,885,077,300,224
  5. Step 5: Solve for x
    x = 5,295,885,077,300,224/33,696,576
  6. Step 6: Final answer
    x = 157,163,893.37

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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.