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Finding the Third Proportional to 62,098,085,789.50 and 135,076,398,803

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Solution

The third proportional to 62,098,085,789.50 and 135,076,398,803 is: 293,819,580,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,085,789.50 : 135,076,398,803 = 135,076,398,803 : x
  2. Step 2: Convert to fraction form
    62,098,085,789.50/135,076,398,803 = 135,076,398,803/x
  3. Step 3: Cross multiply
    62,098,085,789.50x = 135,076,398,803 × 135,076,398,803
  4. Step 4: Simplify right side
    62,098,085,789.50x = 18,245,633,513,587,099,041,792
  5. Step 5: Solve for x
    x = 18,245,633,513,587,099,041,792/62,098,085,789.50
  6. Step 6: Final answer
    x = 293,819,580,452.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.