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Finding the Third Proportional to 7,982,832.09 and 17,476,948.41

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Solution

The third proportional to 7,982,832.09 and 17,476,948.41 is: 38,262,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982,832.09 : 17,476,948.41 = 17,476,948.41 : x
  2. Step 2: Convert to fraction form
    7,982,832.09/17,476,948.41 = 17,476,948.41/x
  3. Step 3: Cross multiply
    7,982,832.09x = 17,476,948.41 × 17,476,948.41
  4. Step 4: Simplify right side
    7,982,832.09x = 305,443,725,594,724.44
  5. Step 5: Solve for x
    x = 305,443,725,594,724.44/7,982,832.09
  6. Step 6: Final answer
    x = 38,262,576.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.