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Finding the Third Proportional to 324,280,259,371.50 and 697,363,582,611

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Solution

The third proportional to 324,280,259,371.50 and 697,363,582,611 is: 1,499,677,986,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,280,259,371.50 : 697,363,582,611 = 697,363,582,611 : x
  2. Step 2: Convert to fraction form
    324,280,259,371.50/697,363,582,611 = 697,363,582,611/x
  3. Step 3: Cross multiply
    324,280,259,371.50x = 697,363,582,611 × 697,363,582,611
  4. Step 4: Simplify right side
    324,280,259,371.50x = 486,315,966,352,048,993,075,200
  5. Step 5: Solve for x
    x = 486,315,966,352,048,993,075,200/324,280,259,371.50
  6. Step 6: Final answer
    x = 1,499,677,986,241.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.