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Finding the Third Proportional to 5,264,512,224 and 11,435,270,592

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Solution

The third proportional to 5,264,512,224 and 11,435,270,592 is: 24,839,036,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264,512,224 : 11,435,270,592 = 11,435,270,592 : x
  2. Step 2: Convert to fraction form
    5,264,512,224/11,435,270,592 = 11,435,270,592/x
  3. Step 3: Cross multiply
    5,264,512,224x = 11,435,270,592 × 11,435,270,592
  4. Step 4: Simplify right side
    5,264,512,224x = 130,765,413,512,260,026,368
  5. Step 5: Solve for x
    x = 130,765,413,512,260,026,368/5,264,512,224
  6. Step 6: Final answer
    x = 24,839,036,922.76

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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.