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Finding the Third Proportional to 8,585,272 and 11,618,196

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Solution

The third proportional to 8,585,272 and 11,618,196 is: 15,722,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585,272 : 11,618,196 = 11,618,196 : x
  2. Step 2: Convert to fraction form
    8,585,272/11,618,196 = 11,618,196/x
  3. Step 3: Cross multiply
    8,585,272x = 11,618,196 × 11,618,196
  4. Step 4: Simplify right side
    8,585,272x = 134,982,478,294,416
  5. Step 5: Solve for x
    x = 134,982,478,294,416/8,585,272
  6. Step 6: Final answer
    x = 15,722,562.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.