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Finding the Third Proportional to 1,596,206,498 and 3,729,458,616

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Solution

The third proportional to 1,596,206,498 and 3,729,458,616 is: 8,713,698,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,206,498 : 3,729,458,616 = 3,729,458,616 : x
  2. Step 2: Convert to fraction form
    1,596,206,498/3,729,458,616 = 3,729,458,616/x
  3. Step 3: Cross multiply
    1,596,206,498x = 3,729,458,616 × 3,729,458,616
  4. Step 4: Simplify right side
    1,596,206,498x = 13,908,861,568,456,636,416
  5. Step 5: Solve for x
    x = 13,908,861,568,456,636,416/1,596,206,498
  6. Step 6: Final answer
    x = 8,713,698,124.83

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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.