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Finding the Third Proportional to 1,017,458,172 and 2,203,945,524

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Solution

The third proportional to 1,017,458,172 and 2,203,945,524 is: 4,774,030,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,458,172 : 2,203,945,524 = 2,203,945,524 : x
  2. Step 2: Convert to fraction form
    1,017,458,172/2,203,945,524 = 2,203,945,524/x
  3. Step 3: Cross multiply
    1,017,458,172x = 2,203,945,524 × 2,203,945,524
  4. Step 4: Simplify right side
    1,017,458,172x = 4,857,375,872,759,634,944
  5. Step 5: Solve for x
    x = 4,857,375,872,759,634,944/1,017,458,172
  6. Step 6: Final answer
    x = 4,774,030,035.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.