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Finding the Third Proportional to 256,625,812 and 526,856,112

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Solution

The third proportional to 256,625,812 and 526,856,112 is: 1,081,642,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,625,812 : 526,856,112 = 526,856,112 : x
  2. Step 2: Convert to fraction form
    256,625,812/526,856,112 = 526,856,112/x
  3. Step 3: Cross multiply
    256,625,812x = 526,856,112 × 526,856,112
  4. Step 4: Simplify right side
    256,625,812x = 277,577,362,751,756,544
  5. Step 5: Solve for x
    x = 277,577,362,751,756,544/256,625,812
  6. Step 6: Final answer
    x = 1,081,642,413.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.