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Finding the Third Proportional to 8,304,624 and 17,850,816

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Solution

The third proportional to 8,304,624 and 17,850,816 is: 38,370,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304,624 : 17,850,816 = 17,850,816 : x
  2. Step 2: Convert to fraction form
    8,304,624/17,850,816 = 17,850,816/x
  3. Step 3: Cross multiply
    8,304,624x = 17,850,816 × 17,850,816
  4. Step 4: Simplify right side
    8,304,624x = 318,651,631,865,856
  5. Step 5: Solve for x
    x = 318,651,631,865,856/8,304,624
  6. Step 6: Final answer
    x = 38,370,386.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.