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Finding the Third Proportional to 3,016,861,690 and 6,494,793,759

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Solution

The third proportional to 3,016,861,690 and 6,494,793,759 is: 13,982,194,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,861,690 : 6,494,793,759 = 6,494,793,759 : x
  2. Step 2: Convert to fraction form
    3,016,861,690/6,494,793,759 = 6,494,793,759/x
  3. Step 3: Cross multiply
    3,016,861,690x = 6,494,793,759 × 6,494,793,759
  4. Step 4: Simplify right side
    3,016,861,690x = 42,182,345,971,945,349,120
  5. Step 5: Solve for x
    x = 42,182,345,971,945,349,120/3,016,861,690
  6. Step 6: Final answer
    x = 13,982,194,182.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.