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Finding the Third Proportional to 82,064,626 and 177,747,457

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Solution

The third proportional to 82,064,626 and 177,747,457 is: 384,991,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064,626 : 177,747,457 = 177,747,457 : x
  2. Step 2: Convert to fraction form
    82,064,626/177,747,457 = 177,747,457/x
  3. Step 3: Cross multiply
    82,064,626x = 177,747,457 × 177,747,457
  4. Step 4: Simplify right side
    82,064,626x = 31,594,158,469,966,848
  5. Step 5: Solve for x
    x = 31,594,158,469,966,848/82,064,626
  6. Step 6: Final answer
    x = 384,991,195.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.