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Finding the Third Proportional to 393,757,824 and 848,095,872

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Solution

The third proportional to 393,757,824 and 848,095,872 is: 1,826,672,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,757,824 : 848,095,872 = 848,095,872 : x
  2. Step 2: Convert to fraction form
    393,757,824/848,095,872 = 848,095,872/x
  3. Step 3: Cross multiply
    393,757,824x = 848,095,872 × 848,095,872
  4. Step 4: Simplify right side
    393,757,824x = 719,266,608,103,440,384
  5. Step 5: Solve for x
    x = 719,266,608,103,440,384/393,757,824
  6. Step 6: Final answer
    x = 1,826,672,549.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.