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Finding the Third Proportional to 2,809,558,682,617 and 4,470,560,178,715

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Solution

The third proportional to 2,809,558,682,617 and 4,470,560,178,715 is: 7,113,540,085,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809,558,682,617 : 4,470,560,178,715 = 4,470,560,178,715 : x
  2. Step 2: Convert to fraction form
    2,809,558,682,617/4,470,560,178,715 = 4,470,560,178,715/x
  3. Step 3: Cross multiply
    2,809,558,682,617x = 4,470,560,178,715 × 4,470,560,178,715
  4. Step 4: Simplify right side
    2,809,558,682,617x = 19,985,908,311,512,293,289,492,480
  5. Step 5: Solve for x
    x = 19,985,908,311,512,293,289,492,480/2,809,558,682,617
  6. Step 6: Final answer
    x = 7,113,540,085,553.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.