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Finding the Third Proportional to 503,847,208,841 and 1,110,394,527,805

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Solution

The third proportional to 503,847,208,841 and 1,110,394,527,805 is: 2,447,122,829,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,208,841 : 1,110,394,527,805 = 1,110,394,527,805 : x
  2. Step 2: Convert to fraction form
    503,847,208,841/1,110,394,527,805 = 1,110,394,527,805/x
  3. Step 3: Cross multiply
    503,847,208,841x = 1,110,394,527,805 × 1,110,394,527,805
  4. Step 4: Simplify right side
    503,847,208,841x = 1,232,976,007,379,288,818,974,720
  5. Step 5: Solve for x
    x = 1,232,976,007,379,288,818,974,720/503,847,208,841
  6. Step 6: Final answer
    x = 2,447,122,829,588.57

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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.