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Finding the Third Proportional to 7,479,760 and 16,378,281

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Solution

The third proportional to 7,479,760 and 16,378,281 is: 35,863,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,479,760 : 16,378,281 = 16,378,281 : x
  2. Step 2: Convert to fraction form
    7,479,760/16,378,281 = 16,378,281/x
  3. Step 3: Cross multiply
    7,479,760x = 16,378,281 × 16,378,281
  4. Step 4: Simplify right side
    7,479,760x = 268,248,088,514,961
  5. Step 5: Solve for x
    x = 268,248,088,514,961/7,479,760
  6. Step 6: Final answer
    x = 35,863,194.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.