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Finding the Third Proportional to 251,694,178,464 and 539,289,322,074

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Solution

The third proportional to 251,694,178,464 and 539,289,322,074 is: 1,155,501,389,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,694,178,464 : 539,289,322,074 = 539,289,322,074 : x
  2. Step 2: Convert to fraction form
    251,694,178,464/539,289,322,074 = 539,289,322,074/x
  3. Step 3: Cross multiply
    251,694,178,464x = 539,289,322,074 × 539,289,322,074
  4. Step 4: Simplify right side
    251,694,178,464x = 290,832,972,903,034,491,240,448
  5. Step 5: Solve for x
    x = 290,832,972,903,034,491,240,448/251,694,178,464
  6. Step 6: Final answer
    x = 1,155,501,389,336.39

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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.