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Finding the Third Proportional to 35,776,914,222 and 77,516,324,178

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Solution

The third proportional to 35,776,914,222 and 77,516,324,178 is: 167,951,335,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776,914,222 : 77,516,324,178 = 77,516,324,178 : x
  2. Step 2: Convert to fraction form
    35,776,914,222/77,516,324,178 = 77,516,324,178/x
  3. Step 3: Cross multiply
    35,776,914,222x = 77,516,324,178 × 77,516,324,178
  4. Step 4: Simplify right side
    35,776,914,222x = 6,008,780,514,068,787,101,696
  5. Step 5: Solve for x
    x = 6,008,780,514,068,787,101,696/35,776,914,222
  6. Step 6: Final answer
    x = 167,951,335,232.09

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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.