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Finding the Third Proportional to 34,828,736 and 81,330,966

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Solution

The third proportional to 34,828,736 and 81,330,966 is: 189,921,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,828,736 : 81,330,966 = 81,330,966 : x
  2. Step 2: Convert to fraction form
    34,828,736/81,330,966 = 81,330,966/x
  3. Step 3: Cross multiply
    34,828,736x = 81,330,966 × 81,330,966
  4. Step 4: Simplify right side
    34,828,736x = 6,614,726,030,493,156
  5. Step 5: Solve for x
    x = 6,614,726,030,493,156/34,828,736
  6. Step 6: Final answer
    x = 189,921,507.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.