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Finding the Third Proportional to 7,270,311 and 15,292,734

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Solution

The third proportional to 7,270,311 and 15,292,734 is: 32,167,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270,311 : 15,292,734 = 15,292,734 : x
  2. Step 2: Convert to fraction form
    7,270,311/15,292,734 = 15,292,734/x
  3. Step 3: Cross multiply
    7,270,311x = 15,292,734 × 15,292,734
  4. Step 4: Simplify right side
    7,270,311x = 233,867,713,194,756
  5. Step 5: Solve for x
    x = 233,867,713,194,756/7,270,311
  6. Step 6: Final answer
    x = 32,167,497.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.