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Finding the Third Proportional to 3,823,984,554.75 and 8,229,100,023

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Solution

The third proportional to 3,823,984,554.75 and 8,229,100,023 is: 17,708,776,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823,984,554.75 : 8,229,100,023 = 8,229,100,023 : x
  2. Step 2: Convert to fraction form
    3,823,984,554.75/8,229,100,023 = 8,229,100,023/x
  3. Step 3: Cross multiply
    3,823,984,554.75x = 8,229,100,023 × 8,229,100,023
  4. Step 4: Simplify right side
    3,823,984,554.75x = 67,718,087,188,538,597,376
  5. Step 5: Solve for x
    x = 67,718,087,188,538,597,376/3,823,984,554.75
  6. Step 6: Final answer
    x = 17,708,776,334.99

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