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Finding the Third Proportional to 1,627,289,163 and 3,531,990,582

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Solution

The third proportional to 1,627,289,163 and 3,531,990,582 is: 7,666,097,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,289,163 : 3,531,990,582 = 3,531,990,582 : x
  2. Step 2: Convert to fraction form
    1,627,289,163/3,531,990,582 = 3,531,990,582/x
  3. Step 3: Cross multiply
    1,627,289,163x = 3,531,990,582 × 3,531,990,582
  4. Step 4: Simplify right side
    1,627,289,163x = 12,474,957,471,336,697,856
  5. Step 5: Solve for x
    x = 12,474,957,471,336,697,856/1,627,289,163
  6. Step 6: Final answer
    x = 7,666,097,553.52

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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.