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Finding the Third Proportional to 3,016,861,581 and 6,494,793,546

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Solution

The third proportional to 3,016,861,581 and 6,494,793,546 is: 13,982,193,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,861,581 : 6,494,793,546 = 6,494,793,546 : x
  2. Step 2: Convert to fraction form
    3,016,861,581/6,494,793,546 = 6,494,793,546/x
  3. Step 3: Cross multiply
    3,016,861,581x = 6,494,793,546 × 6,494,793,546
  4. Step 4: Simplify right side
    3,016,861,581x = 42,182,343,205,163,253,760
  5. Step 5: Solve for x
    x = 42,182,343,205,163,253,760/3,016,861,581
  6. Step 6: Final answer
    x = 13,982,193,770.78

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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.