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Finding the Third Proportional to 320,126,696 and 713,860,892

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Solution

The third proportional to 320,126,696 and 713,860,892 is: 1,591,861,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,126,696 : 713,860,892 = 713,860,892 : x
  2. Step 2: Convert to fraction form
    320,126,696/713,860,892 = 713,860,892/x
  3. Step 3: Cross multiply
    320,126,696x = 713,860,892 × 713,860,892
  4. Step 4: Simplify right side
    320,126,696x = 509,597,373,127,035,648
  5. Step 5: Solve for x
    x = 509,597,373,127,035,648/320,126,696
  6. Step 6: Final answer
    x = 1,591,861,533.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.