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Finding the Third Proportional to 503,847,191,856 and 1,110,394,486,042

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Solution

The third proportional to 503,847,191,856 and 1,110,394,486,042 is: 2,447,122,728,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,191,856 : 1,110,394,486,042 = 1,110,394,486,042 : x
  2. Step 2: Convert to fraction form
    503,847,191,856/1,110,394,486,042 = 1,110,394,486,042/x
  3. Step 3: Cross multiply
    503,847,191,856x = 1,110,394,486,042 × 1,110,394,486,042
  4. Step 4: Simplify right side
    503,847,191,856x = 1,232,975,914,632,477,344,268,288
  5. Step 5: Solve for x
    x = 1,232,975,914,632,477,344,268,288/503,847,191,856
  6. Step 6: Final answer
    x = 2,447,122,728,005.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.