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Finding the Third Proportional to 325,068,696 and 694,223,424

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Solution

The third proportional to 325,068,696 and 694,223,424 is: 1,482,597,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,068,696 : 694,223,424 = 694,223,424 : x
  2. Step 2: Convert to fraction form
    325,068,696/694,223,424 = 694,223,424/x
  3. Step 3: Cross multiply
    325,068,696x = 694,223,424 × 694,223,424
  4. Step 4: Simplify right side
    325,068,696x = 481,946,162,430,283,776
  5. Step 5: Solve for x
    x = 481,946,162,430,283,776/325,068,696
  6. Step 6: Final answer
    x = 1,482,597,888.88

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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.