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Finding the Third Proportional to 9,733,684 and 22,532,846

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Solution

The third proportional to 9,733,684 and 22,532,846 is: 52,162,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733,684 : 22,532,846 = 22,532,846 : x
  2. Step 2: Convert to fraction form
    9,733,684/22,532,846 = 22,532,846/x
  3. Step 3: Cross multiply
    9,733,684x = 22,532,846 × 22,532,846
  4. Step 4: Simplify right side
    9,733,684x = 507,729,148,859,716
  5. Step 5: Solve for x
    x = 507,729,148,859,716/9,733,684
  6. Step 6: Final answer
    x = 52,162,074.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.