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Finding the Third Proportional to 10,852,425 and 17,274,939.75

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Solution

The third proportional to 10,852,425 and 17,274,939.75 is: 27,498,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852,425 : 17,274,939.75 = 17,274,939.75 : x
  2. Step 2: Convert to fraction form
    10,852,425/17,274,939.75 = 17,274,939.75/x
  3. Step 3: Cross multiply
    10,852,425x = 17,274,939.75 × 17,274,939.75
  4. Step 4: Simplify right side
    10,852,425x = 298,423,543,366,130.06
  5. Step 5: Solve for x
    x = 298,423,543,366,130.06/10,852,425
  6. Step 6: Final answer
    x = 27,498,328.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.