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Finding the Third Proportional to 10,270,077 and 15,894,000

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Solution

The third proportional to 10,270,077 and 15,894,000 is: 24,597,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270,077 : 15,894,000 = 15,894,000 : x
  2. Step 2: Convert to fraction form
    10,270,077/15,894,000 = 15,894,000/x
  3. Step 3: Cross multiply
    10,270,077x = 15,894,000 × 15,894,000
  4. Step 4: Simplify right side
    10,270,077x = 252,619,236,000,000
  5. Step 5: Solve for x
    x = 252,619,236,000,000/10,270,077
  6. Step 6: Final answer
    x = 24,597,599.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.