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Finding the Third Proportional to 35,601,665,264 and 74,133,198,880

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Solution

The third proportional to 35,601,665,264 and 74,133,198,880 is: 154,367,250,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,601,665,264 : 74,133,198,880 = 74,133,198,880 : x
  2. Step 2: Convert to fraction form
    35,601,665,264/74,133,198,880 = 74,133,198,880/x
  3. Step 3: Cross multiply
    35,601,665,264x = 74,133,198,880 × 74,133,198,880
  4. Step 4: Simplify right side
    35,601,665,264x = 5,495,731,176,181,632,860,160
  5. Step 5: Solve for x
    x = 5,495,731,176,181,632,860,160/35,601,665,264
  6. Step 6: Final answer
    x = 154,367,250,392.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.