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Finding the Third Proportional to 57,453,584 and 122,869,791

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Solution

The third proportional to 57,453,584 and 122,869,791 is: 262,768,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453,584 : 122,869,791 = 122,869,791 : x
  2. Step 2: Convert to fraction form
    57,453,584/122,869,791 = 122,869,791/x
  3. Step 3: Cross multiply
    57,453,584x = 122,869,791 × 122,869,791
  4. Step 4: Simplify right side
    57,453,584x = 15,096,985,540,383,680
  5. Step 5: Solve for x
    x = 15,096,985,540,383,680/57,453,584
  6. Step 6: Final answer
    x = 262,768,386.05

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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.