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Finding the Third Proportional to 1,263,265,758 and 2,816,996,827

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Solution

The third proportional to 1,263,265,758 and 2,816,996,827 is: 6,281,711,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,265,758 : 2,816,996,827 = 2,816,996,827 : x
  2. Step 2: Convert to fraction form
    1,263,265,758/2,816,996,827 = 2,816,996,827/x
  3. Step 3: Cross multiply
    1,263,265,758x = 2,816,996,827 × 2,816,996,827
  4. Step 4: Simplify right side
    1,263,265,758x = 7,935,471,123,328,067,584
  5. Step 5: Solve for x
    x = 7,935,471,123,328,067,584/1,263,265,758
  6. Step 6: Final answer
    x = 6,281,711,566.29

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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.