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Finding the Third Proportional to 34,694,414.81 and 77,143,885.88

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Solution

The third proportional to 34,694,414.81 and 77,143,885.88 is: 171,531,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694,414.81 : 77,143,885.88 = 77,143,885.88 : x
  2. Step 2: Convert to fraction form
    34,694,414.81/77,143,885.88 = 77,143,885.88/x
  3. Step 3: Cross multiply
    34,694,414.81x = 77,143,885.88 × 77,143,885.88
  4. Step 4: Simplify right side
    34,694,414.81x = 5,951,179,127,895,025
  5. Step 5: Solve for x
    x = 5,951,179,127,895,025/34,694,414.81
  6. Step 6: Final answer
    x = 171,531,330.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.