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Finding the Third Proportional to 1,397,982,772 and 2,170,634,763

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Solution

The third proportional to 1,397,982,772 and 2,170,634,763 is: 3,370,324,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,982,772 : 2,170,634,763 = 2,170,634,763 : x
  2. Step 2: Convert to fraction form
    1,397,982,772/2,170,634,763 = 2,170,634,763/x
  3. Step 3: Cross multiply
    1,397,982,772x = 2,170,634,763 × 2,170,634,763
  4. Step 4: Simplify right side
    1,397,982,772x = 4,711,655,274,344,066,048
  5. Step 5: Solve for x
    x = 4,711,655,274,344,066,048/1,397,982,772
  6. Step 6: Final answer
    x = 3,370,324,276.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.