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Finding the Third Proportional to 46,287,448,452 and 100,465,732,872

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Solution

The third proportional to 46,287,448,452 and 100,465,732,872 is: 218,058,325,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287,448,452 : 100,465,732,872 = 100,465,732,872 : x
  2. Step 2: Convert to fraction form
    46,287,448,452/100,465,732,872 = 100,465,732,872/x
  3. Step 3: Cross multiply
    46,287,448,452x = 100,465,732,872 × 100,465,732,872
  4. Step 4: Simplify right side
    46,287,448,452x = 10,093,363,481,508,061,380,608
  5. Step 5: Solve for x
    x = 10,093,363,481,508,061,380,608/46,287,448,452
  6. Step 6: Final answer
    x = 218,058,325,076.50

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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.