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Finding the Third Proportional to 10,215,823 and 22,225,250

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Solution

The third proportional to 10,215,823 and 22,225,250 is: 48,352,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,823 : 22,225,250 = 22,225,250 : x
  2. Step 2: Convert to fraction form
    10,215,823/22,225,250 = 22,225,250/x
  3. Step 3: Cross multiply
    10,215,823x = 22,225,250 × 22,225,250
  4. Step 4: Simplify right side
    10,215,823x = 493,961,737,562,500
  5. Step 5: Solve for x
    x = 493,961,737,562,500/10,215,823
  6. Step 6: Final answer
    x = 48,352,613.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.