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Finding the Third Proportional to 349,227,404.44 and 547,835,503.78

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Solution

The third proportional to 349,227,404.44 and 547,835,503.78 is: 859,393,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,227,404.44 : 547,835,503.78 = 547,835,503.78 : x
  2. Step 2: Convert to fraction form
    349,227,404.44/547,835,503.78 = 547,835,503.78/x
  3. Step 3: Cross multiply
    349,227,404.44x = 547,835,503.78 × 547,835,503.78
  4. Step 4: Simplify right side
    349,227,404.44x = 300,123,739,203,256,000
  5. Step 5: Solve for x
    x = 300,123,739,203,256,000/349,227,404.44
  6. Step 6: Final answer
    x = 859,393,436.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.