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Finding the Third Proportional to 1,266,250,977 and 2,790,116,703

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Solution

The third proportional to 1,266,250,977 and 2,790,116,703 is: 6,147,873,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,250,977 : 2,790,116,703 = 2,790,116,703 : x
  2. Step 2: Convert to fraction form
    1,266,250,977/2,790,116,703 = 2,790,116,703/x
  3. Step 3: Cross multiply
    1,266,250,977x = 2,790,116,703 × 2,790,116,703
  4. Step 4: Simplify right side
    1,266,250,977x = 7,784,751,216,359,589,888
  5. Step 5: Solve for x
    x = 7,784,751,216,359,589,888/1,266,250,977
  6. Step 6: Final answer
    x = 6,147,873,808.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.