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Finding the Third Proportional to 6,381,744 and 9,577,032

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Solution

The third proportional to 6,381,744 and 9,577,032 is: 14,372,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,744 : 9,577,032 = 9,577,032 : x
  2. Step 2: Convert to fraction form
    6,381,744/9,577,032 = 9,577,032/x
  3. Step 3: Cross multiply
    6,381,744x = 9,577,032 × 9,577,032
  4. Step 4: Simplify right side
    6,381,744x = 91,719,541,929,024
  5. Step 5: Solve for x
    x = 91,719,541,929,024/6,381,744
  6. Step 6: Final answer
    x = 14,372,175.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.