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Finding the Third Proportional to 12,200,724 and 26,292,474

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Solution

The third proportional to 12,200,724 and 26,292,474 is: 56,660,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200,724 : 26,292,474 = 26,292,474 : x
  2. Step 2: Convert to fraction form
    12,200,724/26,292,474 = 26,292,474/x
  3. Step 3: Cross multiply
    12,200,724x = 26,292,474 × 26,292,474
  4. Step 4: Simplify right side
    12,200,724x = 691,294,189,040,676
  5. Step 5: Solve for x
    x = 691,294,189,040,676/12,200,724
  6. Step 6: Final answer
    x = 56,660,095.67

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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.