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Finding the Third Proportional to 7,239,960 and 14,297,184

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Solution

The third proportional to 7,239,960 and 14,297,184 is: 28,233,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239,960 : 14,297,184 = 14,297,184 : x
  2. Step 2: Convert to fraction form
    7,239,960/14,297,184 = 14,297,184/x
  3. Step 3: Cross multiply
    7,239,960x = 14,297,184 × 14,297,184
  4. Step 4: Simplify right side
    7,239,960x = 204,409,470,329,856
  5. Step 5: Solve for x
    x = 204,409,470,329,856/7,239,960
  6. Step 6: Final answer
    x = 28,233,508.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.