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Finding the Third Proportional to 766,643,082 and 1,667,609,958

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Solution

The third proportional to 766,643,082 and 1,667,609,958 is: 3,627,402,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,082 : 1,667,609,958 = 1,667,609,958 : x
  2. Step 2: Convert to fraction form
    766,643,082/1,667,609,958 = 1,667,609,958/x
  3. Step 3: Cross multiply
    766,643,082x = 1,667,609,958 × 1,667,609,958
  4. Step 4: Simplify right side
    766,643,082x = 2,780,922,972,020,761,600
  5. Step 5: Solve for x
    x = 2,780,922,972,020,761,600/766,643,082
  6. Step 6: Final answer
    x = 3,627,402,421.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.