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Finding the Third Proportional to 1,551,296,019 and 2,469,611,883

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Solution

The third proportional to 1,551,296,019 and 2,469,611,883 is: 3,931,540,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551,296,019 : 2,469,611,883 = 2,469,611,883 : x
  2. Step 2: Convert to fraction form
    1,551,296,019/2,469,611,883 = 2,469,611,883/x
  3. Step 3: Cross multiply
    1,551,296,019x = 2,469,611,883 × 2,469,611,883
  4. Step 4: Simplify right side
    1,551,296,019x = 6,098,982,852,654,806,016
  5. Step 5: Solve for x
    x = 6,098,982,852,654,806,016/1,551,296,019
  6. Step 6: Final answer
    x = 3,931,540,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.