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Finding the Third Proportional to 818,684,562 and 1,780,810,812

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Solution

The third proportional to 818,684,562 and 1,780,810,812 is: 3,873,637,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,684,562 : 1,780,810,812 = 1,780,810,812 : x
  2. Step 2: Convert to fraction form
    818,684,562/1,780,810,812 = 1,780,810,812/x
  3. Step 3: Cross multiply
    818,684,562x = 1,780,810,812 × 1,780,810,812
  4. Step 4: Simplify right side
    818,684,562x = 3,171,287,148,136,099,328
  5. Step 5: Solve for x
    x = 3,171,287,148,136,099,328/818,684,562
  6. Step 6: Final answer
    x = 3,873,637,412.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.