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Finding the Third Proportional to 267,788,616.75 and 413,621,592.75

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Solution

The third proportional to 267,788,616.75 and 413,621,592.75 is: 638,872,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,788,616.75 : 413,621,592.75 = 413,621,592.75 : x
  2. Step 2: Convert to fraction form
    267,788,616.75/413,621,592.75 = 413,621,592.75/x
  3. Step 3: Cross multiply
    267,788,616.75x = 413,621,592.75 × 413,621,592.75
  4. Step 4: Simplify right side
    267,788,616.75x = 171,082,821,989,046,848
  5. Step 5: Solve for x
    x = 171,082,821,989,046,848/267,788,616.75
  6. Step 6: Final answer
    x = 638,872,645.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.