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Finding the Third Proportional to 1,668,828,124 and 3,474,993,794

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Solution

The third proportional to 1,668,828,124 and 3,474,993,794 is: 7,235,964,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,828,124 : 3,474,993,794 = 3,474,993,794 : x
  2. Step 2: Convert to fraction form
    1,668,828,124/3,474,993,794 = 3,474,993,794/x
  3. Step 3: Cross multiply
    1,668,828,124x = 3,474,993,794 × 3,474,993,794
  4. Step 4: Simplify right side
    1,668,828,124x = 12,075,581,868,338,513,920
  5. Step 5: Solve for x
    x = 12,075,581,868,338,513,920/1,668,828,124
  6. Step 6: Final answer
    x = 7,235,964,983.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.