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Finding the Third Proportional to 10,632,226 and 23,188,747

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Solution

The third proportional to 10,632,226 and 23,188,747 is: 50,574,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632,226 : 23,188,747 = 23,188,747 : x
  2. Step 2: Convert to fraction form
    10,632,226/23,188,747 = 23,188,747/x
  3. Step 3: Cross multiply
    10,632,226x = 23,188,747 × 23,188,747
  4. Step 4: Simplify right side
    10,632,226x = 537,717,987,430,009
  5. Step 5: Solve for x
    x = 537,717,987,430,009/10,632,226
  6. Step 6: Final answer
    x = 50,574,356.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.