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Finding the Third Proportional to 503,847,208,833 and 1,110,394,527,789

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Solution

The third proportional to 503,847,208,833 and 1,110,394,527,789 is: 2,447,122,829,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,208,833 : 1,110,394,527,789 = 1,110,394,527,789 : x
  2. Step 2: Convert to fraction form
    503,847,208,833/1,110,394,527,789 = 1,110,394,527,789/x
  3. Step 3: Cross multiply
    503,847,208,833x = 1,110,394,527,789 × 1,110,394,527,789
  4. Step 4: Simplify right side
    503,847,208,833x = 1,232,976,007,343,756,286,099,456
  5. Step 5: Solve for x
    x = 1,232,976,007,343,756,286,099,456/503,847,208,833
  6. Step 6: Final answer
    x = 2,447,122,829,556.90

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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.