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Finding the Third Proportional to 33,042,103 and 71,574,781

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Solution

The third proportional to 33,042,103 and 71,574,781 is: 155,043,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,103 : 71,574,781 = 71,574,781 : x
  2. Step 2: Convert to fraction form
    33,042,103/71,574,781 = 71,574,781/x
  3. Step 3: Cross multiply
    33,042,103x = 71,574,781 × 71,574,781
  4. Step 4: Simplify right side
    33,042,103x = 5,122,949,275,197,961
  5. Step 5: Solve for x
    x = 5,122,949,275,197,961/33,042,103
  6. Step 6: Final answer
    x = 155,043,075.65

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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.