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Finding the Third Proportional to 1,453,519,168 and 2,179,745,120

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Solution

The third proportional to 1,453,519,168 and 2,179,745,120 is: 3,268,817,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,519,168 : 2,179,745,120 = 2,179,745,120 : x
  2. Step 2: Convert to fraction form
    1,453,519,168/2,179,745,120 = 2,179,745,120/x
  3. Step 3: Cross multiply
    1,453,519,168x = 2,179,745,120 × 2,179,745,120
  4. Step 4: Simplify right side
    1,453,519,168x = 4,751,288,788,163,814,400
  5. Step 5: Solve for x
    x = 4,751,288,788,163,814,400/1,453,519,168
  6. Step 6: Final answer
    x = 3,268,817,427.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.