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Finding the Third Proportional to 38,478,100 and 84,651,686

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Solution

The third proportional to 38,478,100 and 84,651,686 is: 186,233,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478,100 : 84,651,686 = 84,651,686 : x
  2. Step 2: Convert to fraction form
    38,478,100/84,651,686 = 84,651,686/x
  3. Step 3: Cross multiply
    38,478,100x = 84,651,686 × 84,651,686
  4. Step 4: Simplify right side
    38,478,100x = 7,165,907,942,642,596
  5. Step 5: Solve for x
    x = 7,165,907,942,642,596/38,478,100
  6. Step 6: Final answer
    x = 186,233,414.40

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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.