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Finding the Third Proportional to 17,480,564 and 38,430,196

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Solution

The third proportional to 17,480,564 and 38,430,196 is: 84,486,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480,564 : 38,430,196 = 38,430,196 : x
  2. Step 2: Convert to fraction form
    17,480,564/38,430,196 = 38,430,196/x
  3. Step 3: Cross multiply
    17,480,564x = 38,430,196 × 38,430,196
  4. Step 4: Simplify right side
    17,480,564x = 1,476,879,964,598,416
  5. Step 5: Solve for x
    x = 1,476,879,964,598,416/17,480,564
  6. Step 6: Final answer
    x = 84,486,974.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.