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Finding the Third Proportional to 62,098,085,788 and 135,076,398,800

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Solution

The third proportional to 62,098,085,788 and 135,076,398,800 is: 293,819,580,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,085,788 : 135,076,398,800 = 135,076,398,800 : x
  2. Step 2: Convert to fraction form
    62,098,085,788/135,076,398,800 = 135,076,398,800/x
  3. Step 3: Cross multiply
    62,098,085,788x = 135,076,398,800 × 135,076,398,800
  4. Step 4: Simplify right side
    62,098,085,788x = 18,245,633,512,776,642,068,480
  5. Step 5: Solve for x
    x = 18,245,633,512,776,642,068,480/62,098,085,788
  6. Step 6: Final answer
    x = 293,819,580,446.75

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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.