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Finding the Third Proportional to 17,313,197,856 and 37,813,978,290

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Solution

The third proportional to 17,313,197,856 and 37,813,978,290 is: 82,589,996,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313,197,856 : 37,813,978,290 = 37,813,978,290 : x
  2. Step 2: Convert to fraction form
    17,313,197,856/37,813,978,290 = 37,813,978,290/x
  3. Step 3: Cross multiply
    17,313,197,856x = 37,813,978,290 × 37,813,978,290
  4. Step 4: Simplify right side
    17,313,197,856x = 1,429,896,954,116,591,321,088
  5. Step 5: Solve for x
    x = 1,429,896,954,116,591,321,088/17,313,197,856
  6. Step 6: Final answer
    x = 82,589,996,718.66

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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.