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Finding the Third Proportional to 510,258,895,255 and 1,093,299,254,001

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Solution

The third proportional to 510,258,895,255 and 1,093,299,254,001 is: 2,342,542,716,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,258,895,255 : 1,093,299,254,001 = 1,093,299,254,001 : x
  2. Step 2: Convert to fraction form
    510,258,895,255/1,093,299,254,001 = 1,093,299,254,001/x
  3. Step 3: Cross multiply
    510,258,895,255x = 1,093,299,254,001 × 1,093,299,254,001
  4. Step 4: Simplify right side
    510,258,895,255x = 1,195,303,258,799,143,152,254,976
  5. Step 5: Solve for x
    x = 1,195,303,258,799,143,152,254,976/510,258,895,255
  6. Step 6: Final answer
    x = 2,342,542,716,872.76

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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.