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Finding the Third Proportional to 57,954,672 and 120,668,256

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Solution

The third proportional to 57,954,672 and 120,668,256 is: 251,245,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,954,672 : 120,668,256 = 120,668,256 : x
  2. Step 2: Convert to fraction form
    57,954,672/120,668,256 = 120,668,256/x
  3. Step 3: Cross multiply
    57,954,672x = 120,668,256 × 120,668,256
  4. Step 4: Simplify right side
    57,954,672x = 14,560,828,006,081,536
  5. Step 5: Solve for x
    x = 14,560,828,006,081,536/57,954,672
  6. Step 6: Final answer
    x = 251,245,111.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.