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Finding the Third Proportional to 5,797,824 and 12,297,216

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Solution

The third proportional to 5,797,824 and 12,297,216 is: 26,082,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,824 : 12,297,216 = 12,297,216 : x
  2. Step 2: Convert to fraction form
    5,797,824/12,297,216 = 12,297,216/x
  3. Step 3: Cross multiply
    5,797,824x = 12,297,216 × 12,297,216
  4. Step 4: Simplify right side
    5,797,824x = 151,221,521,350,656
  5. Step 5: Solve for x
    x = 151,221,521,350,656/5,797,824
  6. Step 6: Final answer
    x = 26,082,461.51

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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.