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Finding the Third Proportional to 5,797,829 and 12,297,226

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Solution

The third proportional to 5,797,829 and 12,297,226 is: 26,082,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,829 : 12,297,226 = 12,297,226 : x
  2. Step 2: Convert to fraction form
    5,797,829/12,297,226 = 12,297,226/x
  3. Step 3: Cross multiply
    5,797,829x = 12,297,226 × 12,297,226
  4. Step 4: Simplify right side
    5,797,829x = 151,221,767,295,076
  5. Step 5: Solve for x
    x = 151,221,767,295,076/5,797,829
  6. Step 6: Final answer
    x = 26,082,481.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.