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Finding the Third Proportional to 1,596,206,494 and 3,729,458,608

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Solution

The third proportional to 1,596,206,494 and 3,729,458,608 is: 8,713,698,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,206,494 : 3,729,458,608 = 3,729,458,608 : x
  2. Step 2: Convert to fraction form
    1,596,206,494/3,729,458,608 = 3,729,458,608/x
  3. Step 3: Cross multiply
    1,596,206,494x = 3,729,458,608 × 3,729,458,608
  4. Step 4: Simplify right side
    1,596,206,494x = 13,908,861,508,785,297,408
  5. Step 5: Solve for x
    x = 13,908,861,508,785,297,408/1,596,206,494
  6. Step 6: Final answer
    x = 8,713,698,109.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.