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Finding the Third Proportional to 82,243,644.75 and 180,627,447.75

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Solution

The third proportional to 82,243,644.75 and 180,627,447.75 is: 396,702,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243,644.75 : 180,627,447.75 = 180,627,447.75 : x
  2. Step 2: Convert to fraction form
    82,243,644.75/180,627,447.75 = 180,627,447.75/x
  3. Step 3: Cross multiply
    82,243,644.75x = 180,627,447.75 × 180,627,447.75
  4. Step 4: Simplify right side
    82,243,644.75x = 32,626,274,880,678,980
  5. Step 5: Solve for x
    x = 32,626,274,880,678,980/82,243,644.75
  6. Step 6: Final answer
    x = 396,702,687.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.