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Finding the Third Proportional to 82,243,645 and 180,627,448

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Solution

The third proportional to 82,243,645 and 180,627,448 is: 396,702,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243,645 : 180,627,448 = 180,627,448 : x
  2. Step 2: Convert to fraction form
    82,243,645/180,627,448 = 180,627,448/x
  3. Step 3: Cross multiply
    82,243,645x = 180,627,448 × 180,627,448
  4. Step 4: Simplify right side
    82,243,645x = 32,626,274,970,992,704
  5. Step 5: Solve for x
    x = 32,626,274,970,992,704/82,243,645
  6. Step 6: Final answer
    x = 396,702,687.13

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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.