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Finding the Third Proportional to 818,677,522.50 and 1,780,796,000.25

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Solution

The third proportional to 818,677,522.50 and 1,780,796,000.25 is: 3,873,606,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,677,522.50 : 1,780,796,000.25 = 1,780,796,000.25 : x
  2. Step 2: Convert to fraction form
    818,677,522.50/1,780,796,000.25 = 1,780,796,000.25/x
  3. Step 3: Cross multiply
    818,677,522.50x = 1,780,796,000.25 × 1,780,796,000.25
  4. Step 4: Simplify right side
    818,677,522.50x = 3,171,234,394,506,398,208
  5. Step 5: Solve for x
    x = 3,171,234,394,506,398,208/818,677,522.50
  6. Step 6: Final answer
    x = 3,873,606,282.51

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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.