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Finding the Third Proportional to 1,471,868,659.50 and 2,986,987,431

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Solution

The third proportional to 1,471,868,659.50 and 2,986,987,431 is: 6,061,745,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,868,659.50 : 2,986,987,431 = 2,986,987,431 : x
  2. Step 2: Convert to fraction form
    1,471,868,659.50/2,986,987,431 = 2,986,987,431/x
  3. Step 3: Cross multiply
    1,471,868,659.50x = 2,986,987,431 × 2,986,987,431
  4. Step 4: Simplify right side
    1,471,868,659.50x = 8,922,093,912,951,980,032
  5. Step 5: Solve for x
    x = 8,922,093,912,951,980,032/1,471,868,659.50
  6. Step 6: Final answer
    x = 6,061,745,968.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.