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Finding the Third Proportional to 17,632,103,676 and 38,363,433,240

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Solution

The third proportional to 17,632,103,676 and 38,363,433,240 is: 83,470,074,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632,103,676 : 38,363,433,240 = 38,363,433,240 : x
  2. Step 2: Convert to fraction form
    17,632,103,676/38,363,433,240 = 38,363,433,240/x
  3. Step 3: Cross multiply
    17,632,103,676x = 38,363,433,240 × 38,363,433,240
  4. Step 4: Simplify right side
    17,632,103,676x = 1,471,753,009,959,936,983,040
  5. Step 5: Solve for x
    x = 1,471,753,009,959,936,983,040/17,632,103,676
  6. Step 6: Final answer
    x = 83,470,074,643.63

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