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Finding the Third Proportional to 1,380,462,000 and 1,941,712,008

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Solution

The third proportional to 1,380,462,000 and 1,941,712,008 is: 2,731,147,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,462,000 : 1,941,712,008 = 1,941,712,008 : x
  2. Step 2: Convert to fraction form
    1,380,462,000/1,941,712,008 = 1,941,712,008/x
  3. Step 3: Cross multiply
    1,380,462,000x = 1,941,712,008 × 1,941,712,008
  4. Step 4: Simplify right side
    1,380,462,000x = 3,770,245,522,011,392,000
  5. Step 5: Solve for x
    x = 3,770,245,522,011,392,000/1,380,462,000
  6. Step 6: Final answer
    x = 2,731,147,631.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.