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Finding the Third Proportional to 1,287,707,394 and 2,789,340,846

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Solution

The third proportional to 1,287,707,394 and 2,789,340,846 is: 6,042,073,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,707,394 : 2,789,340,846 = 2,789,340,846 : x
  2. Step 2: Convert to fraction form
    1,287,707,394/2,789,340,846 = 2,789,340,846/x
  3. Step 3: Cross multiply
    1,287,707,394x = 2,789,340,846 × 2,789,340,846
  4. Step 4: Simplify right side
    1,287,707,394x = 7,780,422,355,163,996,160
  5. Step 5: Solve for x
    x = 7,780,422,355,163,996,160/1,287,707,394
  6. Step 6: Final answer
    x = 6,042,073,215.87

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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.