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Finding the Third Proportional to 6,611,856 and 10,217,000

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Solution

The third proportional to 6,611,856 and 10,217,000 is: 15,787,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,856 : 10,217,000 = 10,217,000 : x
  2. Step 2: Convert to fraction form
    6,611,856/10,217,000 = 10,217,000/x
  3. Step 3: Cross multiply
    6,611,856x = 10,217,000 × 10,217,000
  4. Step 4: Simplify right side
    6,611,856x = 104,387,089,000,000
  5. Step 5: Solve for x
    x = 104,387,089,000,000/6,611,856
  6. Step 6: Final answer
    x = 15,787,864.86

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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.