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Finding the Third Proportional to 447,245,684 and 983,212,184

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Solution

The third proportional to 447,245,684 and 983,212,184 is: 2,161,465,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,245,684 : 983,212,184 = 983,212,184 : x
  2. Step 2: Convert to fraction form
    447,245,684/983,212,184 = 983,212,184/x
  3. Step 3: Cross multiply
    447,245,684x = 983,212,184 × 983,212,184
  4. Step 4: Simplify right side
    447,245,684x = 966,706,198,766,049,792
  5. Step 5: Solve for x
    x = 966,706,198,766,049,792/447,245,684
  6. Step 6: Final answer
    x = 2,161,465,685.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.