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Finding the Third Proportional to 1,668,828,120 and 3,474,993,786

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Solution

The third proportional to 1,668,828,120 and 3,474,993,786 is: 7,235,964,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,828,120 : 3,474,993,786 = 3,474,993,786 : x
  2. Step 2: Convert to fraction form
    1,668,828,120/3,474,993,786 = 3,474,993,786/x
  3. Step 3: Cross multiply
    1,668,828,120x = 3,474,993,786 × 3,474,993,786
  4. Step 4: Simplify right side
    1,668,828,120x = 12,075,581,812,738,613,248
  5. Step 5: Solve for x
    x = 12,075,581,812,738,613,248/1,668,828,120
  6. Step 6: Final answer
    x = 7,235,964,967.28

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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.