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Finding the Third Proportional to 510,258,895,244 and 1,093,299,253,980

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Solution

The third proportional to 510,258,895,244 and 1,093,299,253,980 is: 2,342,542,716,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,258,895,244 : 1,093,299,253,980 = 1,093,299,253,980 : x
  2. Step 2: Convert to fraction form
    510,258,895,244/1,093,299,253,980 = 1,093,299,253,980/x
  3. Step 3: Cross multiply
    510,258,895,244x = 1,093,299,253,980 × 1,093,299,253,980
  4. Step 4: Simplify right side
    510,258,895,244x = 1,195,303,258,753,224,583,151,616
  5. Step 5: Solve for x
    x = 1,195,303,258,753,224,583,151,616/510,258,895,244
  6. Step 6: Final answer
    x = 2,342,542,716,833.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.