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Finding the Third Proportional to 309,230,463 and 662,726,333

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Solution

The third proportional to 309,230,463 and 662,726,333 is: 1,420,319,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,230,463 : 662,726,333 = 662,726,333 : x
  2. Step 2: Convert to fraction form
    309,230,463/662,726,333 = 662,726,333/x
  3. Step 3: Cross multiply
    309,230,463x = 662,726,333 × 662,726,333
  4. Step 4: Simplify right side
    309,230,463x = 439,206,192,451,626,880
  5. Step 5: Solve for x
    x = 439,206,192,451,626,880/309,230,463
  6. Step 6: Final answer
    x = 1,420,319,939.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.