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Finding the Third Proportional to 3,369,647.25 and 7,369,148.81

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Solution

The third proportional to 3,369,647.25 and 7,369,148.81 is: 16,115,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369,647.25 : 7,369,148.81 = 7,369,148.81 : x
  2. Step 2: Convert to fraction form
    3,369,647.25/7,369,148.81 = 7,369,148.81/x
  3. Step 3: Cross multiply
    3,369,647.25x = 7,369,148.81 × 7,369,148.81
  4. Step 4: Simplify right side
    3,369,647.25x = 54,304,354,220,770.16
  5. Step 5: Solve for x
    x = 54,304,354,220,770.16/3,369,647.25
  6. Step 6: Final answer
    x = 16,115,738.59

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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.