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Finding the Third Proportional to 1,274,472,978.75 and 1,968,309,029.25

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Solution

The third proportional to 1,274,472,978.75 and 1,968,309,029.25 is: 3,039,876,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,472,978.75 : 1,968,309,029.25 = 1,968,309,029.25 : x
  2. Step 2: Convert to fraction form
    1,274,472,978.75/1,968,309,029.25 = 1,968,309,029.25/x
  3. Step 3: Cross multiply
    1,274,472,978.75x = 1,968,309,029.25 × 1,968,309,029.25
  4. Step 4: Simplify right side
    1,274,472,978.75x = 3,874,240,434,627,077,120
  5. Step 5: Solve for x
    x = 3,874,240,434,627,077,120/1,274,472,978.75
  6. Step 6: Final answer
    x = 3,039,876,481.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.