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Finding the Third Proportional to 10,052,216 and 21,947,869

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Solution

The third proportional to 10,052,216 and 21,947,869 is: 47,920,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052,216 : 21,947,869 = 21,947,869 : x
  2. Step 2: Convert to fraction form
    10,052,216/21,947,869 = 21,947,869/x
  3. Step 3: Cross multiply
    10,052,216x = 21,947,869 × 21,947,869
  4. Step 4: Simplify right side
    10,052,216x = 481,708,953,641,161
  5. Step 5: Solve for x
    x = 481,708,953,641,161/10,052,216
  6. Step 6: Final answer
    x = 47,920,672.78

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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.