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Finding the Third Proportional to 650,932,544.25 and 982,452,128.63

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Solution

The third proportional to 650,932,544.25 and 982,452,128.63 is: 1,482,814,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932,544.25 : 982,452,128.63 = 982,452,128.63 : x
  2. Step 2: Convert to fraction form
    650,932,544.25/982,452,128.63 = 982,452,128.63/x
  3. Step 3: Cross multiply
    650,932,544.25x = 982,452,128.63 × 982,452,128.63
  4. Step 4: Simplify right side
    650,932,544.25x = 965,212,185,039,793,536
  5. Step 5: Solve for x
    x = 965,212,185,039,793,536/650,932,544.25
  6. Step 6: Final answer
    x = 1,482,814,453.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.