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Finding the Third Proportional to 11,569,336.25 and 16,928,128

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Solution

The third proportional to 11,569,336.25 and 16,928,128 is: 24,769,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569,336.25 : 16,928,128 = 16,928,128 : x
  2. Step 2: Convert to fraction form
    11,569,336.25/16,928,128 = 16,928,128/x
  3. Step 3: Cross multiply
    11,569,336.25x = 16,928,128 × 16,928,128
  4. Step 4: Simplify right side
    11,569,336.25x = 286,561,517,584,384
  5. Step 5: Solve for x
    x = 286,561,517,584,384/11,569,336.25
  6. Step 6: Final answer
    x = 24,769,054.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.