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Finding the Third Proportional to 35,601,665,280 and 74,133,198,912

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Solution

The third proportional to 35,601,665,280 and 74,133,198,912 is: 154,367,250,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,601,665,280 : 74,133,198,912 = 74,133,198,912 : x
  2. Step 2: Convert to fraction form
    35,601,665,280/74,133,198,912 = 74,133,198,912/x
  3. Step 3: Cross multiply
    35,601,665,280x = 74,133,198,912 × 74,133,198,912
  4. Step 4: Simplify right side
    35,601,665,280x = 5,495,731,180,926,158,241,792
  5. Step 5: Solve for x
    x = 5,495,731,180,926,158,241,792/35,601,665,280
  6. Step 6: Final answer
    x = 154,367,250,455.94

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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.