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Finding the Third Proportional to 11,432,247,144 and 24,764,179,968

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Solution

The third proportional to 11,432,247,144 and 24,764,179,968 is: 53,643,400,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,247,144 : 24,764,179,968 = 24,764,179,968 : x
  2. Step 2: Convert to fraction form
    11,432,247,144/24,764,179,968 = 24,764,179,968/x
  3. Step 3: Cross multiply
    11,432,247,144x = 24,764,179,968 × 24,764,179,968
  4. Step 4: Simplify right side
    11,432,247,144x = 613,264,609,487,492,481,024
  5. Step 5: Solve for x
    x = 613,264,609,487,492,481,024/11,432,247,144
  6. Step 6: Final answer
    x = 53,643,400,266.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.