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Finding the Third Proportional to 17,475,584 and 38,310,416

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Solution

The third proportional to 17,475,584 and 38,310,416 is: 83,985,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475,584 : 38,310,416 = 38,310,416 : x
  2. Step 2: Convert to fraction form
    17,475,584/38,310,416 = 38,310,416/x
  3. Step 3: Cross multiply
    17,475,584x = 38,310,416 × 38,310,416
  4. Step 4: Simplify right side
    17,475,584x = 1,467,687,974,093,056
  5. Step 5: Solve for x
    x = 1,467,687,974,093,056/17,475,584
  6. Step 6: Final answer
    x = 83,985,060.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.