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Finding the Third Proportional to 1,690,479,168 and 3,662,362,048

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Solution

The third proportional to 1,690,479,168 and 3,662,362,048 is: 7,934,375,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,479,168 : 3,662,362,048 = 3,662,362,048 : x
  2. Step 2: Convert to fraction form
    1,690,479,168/3,662,362,048 = 3,662,362,048/x
  3. Step 3: Cross multiply
    1,690,479,168x = 3,662,362,048 × 3,662,362,048
  4. Step 4: Simplify right side
    1,690,479,168x = 13,412,895,770,630,754,304
  5. Step 5: Solve for x
    x = 13,412,895,770,630,754,304/1,690,479,168
  6. Step 6: Final answer
    x = 7,934,375,072.19

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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.