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Finding the Third Proportional to 35,601,665,282 and 74,133,198,916

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Solution

The third proportional to 35,601,665,282 and 74,133,198,916 is: 154,367,250,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,601,665,282 : 74,133,198,916 = 74,133,198,916 : x
  2. Step 2: Convert to fraction form
    35,601,665,282/74,133,198,916 = 74,133,198,916/x
  3. Step 3: Cross multiply
    35,601,665,282x = 74,133,198,916 × 74,133,198,916
  4. Step 4: Simplify right side
    35,601,665,282x = 5,495,731,181,519,223,390,208
  5. Step 5: Solve for x
    x = 5,495,731,181,519,223,390,208/35,601,665,282
  6. Step 6: Final answer
    x = 154,367,250,463.92

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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.