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Finding the Third Proportional to 690,519,006 and 1,479,531,744

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Solution

The third proportional to 690,519,006 and 1,479,531,744 is: 3,170,099,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,519,006 : 1,479,531,744 = 1,479,531,744 : x
  2. Step 2: Convert to fraction form
    690,519,006/1,479,531,744 = 1,479,531,744/x
  3. Step 3: Cross multiply
    690,519,006x = 1,479,531,744 × 1,479,531,744
  4. Step 4: Simplify right side
    690,519,006x = 2,189,014,181,503,681,536
  5. Step 5: Solve for x
    x = 2,189,014,181,503,681,536/690,519,006
  6. Step 6: Final answer
    x = 3,170,099,827.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.