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Finding the Third Proportional to 10,660,542.75 and 16,375,898.25

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Solution

The third proportional to 10,660,542.75 and 16,375,898.25 is: 25,155,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660,542.75 : 16,375,898.25 = 16,375,898.25 : x
  2. Step 2: Convert to fraction form
    10,660,542.75/16,375,898.25 = 16,375,898.25/x
  3. Step 3: Cross multiply
    10,660,542.75x = 16,375,898.25 × 16,375,898.25
  4. Step 4: Simplify right side
    10,660,542.75x = 268,170,043,494,353.06
  5. Step 5: Solve for x
    x = 268,170,043,494,353.06/10,660,542.75
  6. Step 6: Final answer
    x = 25,155,383.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.