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Finding the Third Proportional to 5,797,827 and 12,297,222

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Solution

The third proportional to 5,797,827 and 12,297,222 is: 26,082,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,827 : 12,297,222 = 12,297,222 : x
  2. Step 2: Convert to fraction form
    5,797,827/12,297,222 = 12,297,222/x
  3. Step 3: Cross multiply
    5,797,827x = 12,297,222 × 12,297,222
  4. Step 4: Simplify right side
    5,797,827x = 151,221,668,917,284
  5. Step 5: Solve for x
    x = 151,221,668,917,284/5,797,827
  6. Step 6: Final answer
    x = 26,082,473.47

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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.