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Finding the Third Proportional to 10,825,573 and 22,546,763

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Solution

The third proportional to 10,825,573 and 22,546,763 is: 46,958,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,573 : 22,546,763 = 22,546,763 : x
  2. Step 2: Convert to fraction form
    10,825,573/22,546,763 = 22,546,763/x
  3. Step 3: Cross multiply
    10,825,573x = 22,546,763 × 22,546,763
  4. Step 4: Simplify right side
    10,825,573x = 508,356,521,778,169
  5. Step 5: Solve for x
    x = 508,356,521,778,169/10,825,573
  6. Step 6: Final answer
    x = 46,958,855.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.