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Finding the Third Proportional to 1,287,707,393 and 2,789,340,844

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Solution

The third proportional to 1,287,707,393 and 2,789,340,844 is: 6,042,073,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,707,393 : 2,789,340,844 = 2,789,340,844 : x
  2. Step 2: Convert to fraction form
    1,287,707,393/2,789,340,844 = 2,789,340,844/x
  3. Step 3: Cross multiply
    1,287,707,393x = 2,789,340,844 × 2,789,340,844
  4. Step 4: Simplify right side
    1,287,707,393x = 7,780,422,344,006,632,448
  5. Step 5: Solve for x
    x = 7,780,422,344,006,632,448/1,287,707,393
  6. Step 6: Final answer
    x = 6,042,073,211.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.