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Finding the Third Proportional to 126,331,066,650 and 280,907,956,692

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Solution

The third proportional to 126,331,066,650 and 280,907,956,692 is: 624,622,923,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,331,066,650 : 280,907,956,692 = 280,907,956,692 : x
  2. Step 2: Convert to fraction form
    126,331,066,650/280,907,956,692 = 280,907,956,692/x
  3. Step 3: Cross multiply
    126,331,066,650x = 280,907,956,692 × 280,907,956,692
  4. Step 4: Simplify right side
    126,331,066,650x = 78,909,280,132,874,545,135,616
  5. Step 5: Solve for x
    x = 78,909,280,132,874,545,135,616/126,331,066,650
  6. Step 6: Final answer
    x = 624,622,923,128.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.