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Finding the Third Proportional to 57,410,217 and 122,786,946

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Solution

The third proportional to 57,410,217 and 122,786,946 is: 262,612,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410,217 : 122,786,946 = 122,786,946 : x
  2. Step 2: Convert to fraction form
    57,410,217/122,786,946 = 122,786,946/x
  3. Step 3: Cross multiply
    57,410,217x = 122,786,946 × 122,786,946
  4. Step 4: Simplify right side
    57,410,217x = 15,076,634,108,006,916
  5. Step 5: Solve for x
    x = 15,076,634,108,006,916/57,410,217
  6. Step 6: Final answer
    x = 262,612,386.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.