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Finding the Third Proportional to 29,154,170 and 67,493,741

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Solution

The third proportional to 29,154,170 and 67,493,741 is: 156,252,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154,170 : 67,493,741 = 67,493,741 : x
  2. Step 2: Convert to fraction form
    29,154,170/67,493,741 = 67,493,741/x
  3. Step 3: Cross multiply
    29,154,170x = 67,493,741 × 67,493,741
  4. Step 4: Simplify right side
    29,154,170x = 4,555,405,074,175,081
  5. Step 5: Solve for x
    x = 4,555,405,074,175,081/29,154,170
  6. Step 6: Final answer
    x = 156,252,264.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.