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Finding the Third Proportional to 503,847,208,839 and 1,110,394,527,801

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Solution

The third proportional to 503,847,208,839 and 1,110,394,527,801 is: 2,447,122,829,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,208,839 : 1,110,394,527,801 = 1,110,394,527,801 : x
  2. Step 2: Convert to fraction form
    503,847,208,839/1,110,394,527,801 = 1,110,394,527,801/x
  3. Step 3: Cross multiply
    503,847,208,839x = 1,110,394,527,801 × 1,110,394,527,801
  4. Step 4: Simplify right side
    503,847,208,839x = 1,232,976,007,370,405,752,864,768
  5. Step 5: Solve for x
    x = 1,232,976,007,370,405,752,864,768/503,847,208,839
  6. Step 6: Final answer
    x = 2,447,122,829,580.65

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