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Finding the Third Proportional to 7,892,144 and 16,982,080

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Solution

The third proportional to 7,892,144 and 16,982,080 is: 36,541,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892,144 : 16,982,080 = 16,982,080 : x
  2. Step 2: Convert to fraction form
    7,892,144/16,982,080 = 16,982,080/x
  3. Step 3: Cross multiply
    7,892,144x = 16,982,080 × 16,982,080
  4. Step 4: Simplify right side
    7,892,144x = 288,391,041,126,400
  5. Step 5: Solve for x
    x = 288,391,041,126,400/7,892,144
  6. Step 6: Final answer
    x = 36,541,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.