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Finding the Third Proportional to 41,133,891,273 and 83,424,373,954

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Solution

The third proportional to 41,133,891,273 and 83,424,373,954 is: 169,194,451,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,133,891,273 : 83,424,373,954 = 83,424,373,954 : x
  2. Step 2: Convert to fraction form
    41,133,891,273/83,424,373,954 = 83,424,373,954/x
  3. Step 3: Cross multiply
    41,133,891,273x = 83,424,373,954 × 83,424,373,954
  4. Step 4: Simplify right side
    41,133,891,273x = 6,959,626,169,616,833,708,032
  5. Step 5: Solve for x
    x = 6,959,626,169,616,833,708,032/41,133,891,273
  6. Step 6: Final answer
    x = 169,194,451,442.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.