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Finding the Third Proportional to 1,661,814,144 and 3,599,396,352

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Solution

The third proportional to 1,661,814,144 and 3,599,396,352 is: 7,796,090,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,814,144 : 3,599,396,352 = 3,599,396,352 : x
  2. Step 2: Convert to fraction form
    1,661,814,144/3,599,396,352 = 3,599,396,352/x
  3. Step 3: Cross multiply
    1,661,814,144x = 3,599,396,352 × 3,599,396,352
  4. Step 4: Simplify right side
    1,661,814,144x = 12,955,654,098,790,907,904
  5. Step 5: Solve for x
    x = 12,955,654,098,790,907,904/1,661,814,144
  6. Step 6: Final answer
    x = 7,796,090,883.91

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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.