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Finding the Third Proportional to 1,263,265,764 and 2,816,996,839

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Solution

The third proportional to 1,263,265,764 and 2,816,996,839 is: 6,281,711,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,265,764 : 2,816,996,839 = 2,816,996,839 : x
  2. Step 2: Convert to fraction form
    1,263,265,764/2,816,996,839 = 2,816,996,839/x
  3. Step 3: Cross multiply
    1,263,265,764x = 2,816,996,839 × 2,816,996,839
  4. Step 4: Simplify right side
    1,263,265,764x = 7,935,471,190,935,992,320
  5. Step 5: Solve for x
    x = 7,935,471,190,935,992,320/1,263,265,764
  6. Step 6: Final answer
    x = 6,281,711,589.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.