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Finding the Third Proportional to 38,252,925 and 82,550,901

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Solution

The third proportional to 38,252,925 and 82,550,901 is: 178,147,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252,925 : 82,550,901 = 82,550,901 : x
  2. Step 2: Convert to fraction form
    38,252,925/82,550,901 = 82,550,901/x
  3. Step 3: Cross multiply
    38,252,925x = 82,550,901 × 82,550,901
  4. Step 4: Simplify right side
    38,252,925x = 6,814,651,255,911,801
  5. Step 5: Solve for x
    x = 6,814,651,255,911,801/38,252,925
  6. Step 6: Final answer
    x = 178,147,194.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.