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Finding the Third Proportional to 33,059,684.25 and 77,199,966

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Solution

The third proportional to 33,059,684.25 and 77,199,966 is: 180,275,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059,684.25 : 77,199,966 = 77,199,966 : x
  2. Step 2: Convert to fraction form
    33,059,684.25/77,199,966 = 77,199,966/x
  3. Step 3: Cross multiply
    33,059,684.25x = 77,199,966 × 77,199,966
  4. Step 4: Simplify right side
    33,059,684.25x = 5,959,834,750,401,156
  5. Step 5: Solve for x
    x = 5,959,834,750,401,156/33,059,684.25
  6. Step 6: Final answer
    x = 180,275,005.21

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Why These Related Problems?

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