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Finding the Third Proportional to 1,708,049,576 and 3,729,295,696

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Solution

The third proportional to 1,708,049,576 and 3,729,295,696 is: 8,142,413,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,049,576 : 3,729,295,696 = 3,729,295,696 : x
  2. Step 2: Convert to fraction form
    1,708,049,576/3,729,295,696 = 3,729,295,696/x
  3. Step 3: Cross multiply
    1,708,049,576x = 3,729,295,696 × 3,729,295,696
  4. Step 4: Simplify right side
    1,708,049,576x = 13,907,646,388,204,124,160
  5. Step 5: Solve for x
    x = 13,907,646,388,204,124,160/1,708,049,576
  6. Step 6: Final answer
    x = 8,142,413,770.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.