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Finding the Third Proportional to 33,042,100.50 and 71,574,777

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Solution

The third proportional to 33,042,100.50 and 71,574,777 is: 155,043,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,100.50 : 71,574,777 = 71,574,777 : x
  2. Step 2: Convert to fraction form
    33,042,100.50/71,574,777 = 71,574,777/x
  3. Step 3: Cross multiply
    33,042,100.50x = 71,574,777 × 71,574,777
  4. Step 4: Simplify right side
    33,042,100.50x = 5,122,948,702,599,729
  5. Step 5: Solve for x
    x = 5,122,948,702,599,729/33,042,100.50
  6. Step 6: Final answer
    x = 155,043,070.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.