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Finding the Third Proportional to 7,609,053.09 and 11,786,787.56

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Solution

The third proportional to 7,609,053.09 and 11,786,787.56 is: 18,258,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,053.09 : 11,786,787.56 = 11,786,787.56 : x
  2. Step 2: Convert to fraction form
    7,609,053.09/11,786,787.56 = 11,786,787.56/x
  3. Step 3: Cross multiply
    7,609,053.09x = 11,786,787.56 × 11,786,787.56
  4. Step 4: Simplify right side
    7,609,053.09x = 138,928,361,043,504.69
  5. Step 5: Solve for x
    x = 138,928,361,043,504.69/7,609,053.09
  6. Step 6: Final answer
    x = 18,258,298.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.