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Finding the Third Proportional to 663,450,266 and 982,120,467

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Solution

The third proportional to 663,450,266 and 982,120,467 is: 1,453,855,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,450,266 : 982,120,467 = 982,120,467 : x
  2. Step 2: Convert to fraction form
    663,450,266/982,120,467 = 982,120,467/x
  3. Step 3: Cross multiply
    663,450,266x = 982,120,467 × 982,120,467
  4. Step 4: Simplify right side
    663,450,266x = 964,560,611,700,298,112
  5. Step 5: Solve for x
    x = 964,560,611,700,298,112/663,450,266
  6. Step 6: Final answer
    x = 1,453,855,188.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.