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Finding the Third Proportional to 11,724,663 and 25,454,670

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Solution

The third proportional to 11,724,663 and 25,454,670 is: 55,263,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724,663 : 25,454,670 = 25,454,670 : x
  2. Step 2: Convert to fraction form
    11,724,663/25,454,670 = 25,454,670/x
  3. Step 3: Cross multiply
    11,724,663x = 25,454,670 × 25,454,670
  4. Step 4: Simplify right side
    11,724,663x = 647,940,224,808,900
  5. Step 5: Solve for x
    x = 647,940,224,808,900/11,724,663
  6. Step 6: Final answer
    x = 55,263,014.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.