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Finding the Third Proportional to 57,453,498 and 122,869,614

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Solution

The third proportional to 57,453,498 and 122,869,614 is: 262,768,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453,498 : 122,869,614 = 122,869,614 : x
  2. Step 2: Convert to fraction form
    57,453,498/122,869,614 = 122,869,614/x
  3. Step 3: Cross multiply
    57,453,498x = 122,869,614 × 122,869,614
  4. Step 4: Simplify right side
    57,453,498x = 15,096,942,044,508,996
  5. Step 5: Solve for x
    x = 15,096,942,044,508,996/57,453,498
  6. Step 6: Final answer
    x = 262,768,022.31

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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.