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Finding the Third Proportional to 11,432,247,147 and 24,764,179,974

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Solution

The third proportional to 11,432,247,147 and 24,764,179,974 is: 53,643,400,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,247,147 : 24,764,179,974 = 24,764,179,974 : x
  2. Step 2: Convert to fraction form
    11,432,247,147/24,764,179,974 = 24,764,179,974/x
  3. Step 3: Cross multiply
    11,432,247,147x = 24,764,179,974 × 24,764,179,974
  4. Step 4: Simplify right side
    11,432,247,147x = 613,264,609,784,662,589,440
  5. Step 5: Solve for x
    x = 613,264,609,784,662,589,440/11,432,247,147
  6. Step 6: Final answer
    x = 53,643,400,278.10

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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.