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Finding the Third Proportional to 129,972,966 and 285,456,396

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Solution

The third proportional to 129,972,966 and 285,456,396 is: 626,940,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,972,966 : 285,456,396 = 285,456,396 : x
  2. Step 2: Convert to fraction form
    129,972,966/285,456,396 = 285,456,396/x
  3. Step 3: Cross multiply
    129,972,966x = 285,456,396 × 285,456,396
  4. Step 4: Simplify right side
    129,972,966x = 81,485,354,017,308,816
  5. Step 5: Solve for x
    x = 81,485,354,017,308,816/129,972,966
  6. Step 6: Final answer
    x = 626,940,790.27

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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.