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Finding the Third Proportional to 5,153,568 and 10,972,416

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Solution

The third proportional to 5,153,568 and 10,972,416 is: 23,361,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153,568 : 10,972,416 = 10,972,416 : x
  2. Step 2: Convert to fraction form
    5,153,568/10,972,416 = 10,972,416/x
  3. Step 3: Cross multiply
    5,153,568x = 10,972,416 × 10,972,416
  4. Step 4: Simplify right side
    5,153,568x = 120,393,912,877,056
  5. Step 5: Solve for x
    x = 120,393,912,877,056/5,153,568
  6. Step 6: Final answer
    x = 23,361,273.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.