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Finding the Third Proportional to 267,921,498.38 and 576,895,584.38

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Solution

The third proportional to 267,921,498.38 and 576,895,584.38 is: 1,242,186,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,921,498.38 : 576,895,584.38 = 576,895,584.38 : x
  2. Step 2: Convert to fraction form
    267,921,498.38/576,895,584.38 = 576,895,584.38/x
  3. Step 3: Cross multiply
    267,921,498.38x = 576,895,584.38 × 576,895,584.38
  4. Step 4: Simplify right side
    267,921,498.38x = 332,808,515,271,372,736
  5. Step 5: Solve for x
    x = 332,808,515,271,372,736/267,921,498.38
  6. Step 6: Final answer
    x = 1,242,186,675.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.