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Finding the Third Proportional to 253,532,728 and 555,669,344

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Solution

The third proportional to 253,532,728 and 555,669,344 is: 1,217,864,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,532,728 : 555,669,344 = 555,669,344 : x
  2. Step 2: Convert to fraction form
    253,532,728/555,669,344 = 555,669,344/x
  3. Step 3: Cross multiply
    253,532,728x = 555,669,344 × 555,669,344
  4. Step 4: Simplify right side
    253,532,728x = 308,768,419,861,390,336
  5. Step 5: Solve for x
    x = 308,768,419,861,390,336/253,532,728
  6. Step 6: Final answer
    x = 1,217,864,148.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.