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Finding the Third Proportional to 9,177,600 and 19,947,264

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Solution

The third proportional to 9,177,600 and 19,947,264 is: 43,354,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177,600 : 19,947,264 = 19,947,264 : x
  2. Step 2: Convert to fraction form
    9,177,600/19,947,264 = 19,947,264/x
  3. Step 3: Cross multiply
    9,177,600x = 19,947,264 × 19,947,264
  4. Step 4: Simplify right side
    9,177,600x = 397,893,341,085,696
  5. Step 5: Solve for x
    x = 397,893,341,085,696/9,177,600
  6. Step 6: Final answer
    x = 43,354,835.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.