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Finding the Third Proportional to 237,817,728 and 522,401,936

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Solution

The third proportional to 237,817,728 and 522,401,936 is: 1,147,533,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,817,728 : 522,401,936 = 522,401,936 : x
  2. Step 2: Convert to fraction form
    237,817,728/522,401,936 = 522,401,936/x
  3. Step 3: Cross multiply
    237,817,728x = 522,401,936 × 522,401,936
  4. Step 4: Simplify right side
    237,817,728x = 272,903,782,736,548,096
  5. Step 5: Solve for x
    x = 272,903,782,736,548,096/237,817,728
  6. Step 6: Final answer
    x = 1,147,533,386.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.