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Finding the Third Proportional to 251,694,178,443 and 539,289,322,038

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Solution

The third proportional to 251,694,178,443 and 539,289,322,038 is: 1,155,501,389,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,694,178,443 : 539,289,322,038 = 539,289,322,038 : x
  2. Step 2: Convert to fraction form
    251,694,178,443/539,289,322,038 = 539,289,322,038/x
  3. Step 3: Cross multiply
    251,694,178,443x = 539,289,322,038 × 539,289,322,038
  4. Step 4: Simplify right side
    251,694,178,443x = 290,832,972,864,205,671,628,800
  5. Step 5: Solve for x
    x = 290,832,972,864,205,671,628,800/251,694,178,443
  6. Step 6: Final answer
    x = 1,155,501,389,278.53

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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.