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Finding the Third Proportional to 15,597,915.75 and 33,662,025

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Solution

The third proportional to 15,597,915.75 and 33,662,025 is: 72,646,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597,915.75 : 33,662,025 = 33,662,025 : x
  2. Step 2: Convert to fraction form
    15,597,915.75/33,662,025 = 33,662,025/x
  3. Step 3: Cross multiply
    15,597,915.75x = 33,662,025 × 33,662,025
  4. Step 4: Simplify right side
    15,597,915.75x = 1,133,131,927,100,625
  5. Step 5: Solve for x
    x = 1,133,131,927,100,625/15,597,915.75
  6. Step 6: Final answer
    x = 72,646,367.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.