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Finding the Third Proportional to 5,981,802 and 13,046,304

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Solution

The third proportional to 5,981,802 and 13,046,304 is: 28,453,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,802 : 13,046,304 = 13,046,304 : x
  2. Step 2: Convert to fraction form
    5,981,802/13,046,304 = 13,046,304/x
  3. Step 3: Cross multiply
    5,981,802x = 13,046,304 × 13,046,304
  4. Step 4: Simplify right side
    5,981,802x = 170,206,048,060,416
  5. Step 5: Solve for x
    x = 170,206,048,060,416/5,981,802
  6. Step 6: Final answer
    x = 28,453,975.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.