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Finding the Third Proportional to 8,153,543 and 17,474,240

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Solution

The third proportional to 8,153,543 and 17,474,240 is: 37,449,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153,543 : 17,474,240 = 17,474,240 : x
  2. Step 2: Convert to fraction form
    8,153,543/17,474,240 = 17,474,240/x
  3. Step 3: Cross multiply
    8,153,543x = 17,474,240 × 17,474,240
  4. Step 4: Simplify right side
    8,153,543x = 305,349,063,577,600
  5. Step 5: Solve for x
    x = 305,349,063,577,600/8,153,543
  6. Step 6: Final answer
    x = 37,449,862.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.