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Finding the Third Proportional to 10,052,218 and 21,947,873

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Solution

The third proportional to 10,052,218 and 21,947,873 is: 47,920,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052,218 : 21,947,873 = 21,947,873 : x
  2. Step 2: Convert to fraction form
    10,052,218/21,947,873 = 21,947,873/x
  3. Step 3: Cross multiply
    10,052,218x = 21,947,873 × 21,947,873
  4. Step 4: Simplify right side
    10,052,218x = 481,709,129,224,129
  5. Step 5: Solve for x
    x = 481,709,129,224,129/10,052,218
  6. Step 6: Final answer
    x = 47,920,680.71

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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.