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Finding the Third Proportional to 719,494,903,234.50 and 1,599,858,597,546

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Solution

The third proportional to 719,494,903,234.50 and 1,599,858,597,546 is: 3,557,422,742,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,494,903,234.50 : 1,599,858,597,546 = 1,599,858,597,546 : x
  2. Step 2: Convert to fraction form
    719,494,903,234.50/1,599,858,597,546 = 1,599,858,597,546/x
  3. Step 3: Cross multiply
    719,494,903,234.50x = 1,599,858,597,546 × 1,599,858,597,546
  4. Step 4: Simplify right side
    719,494,903,234.50x = 2,559,547,532,141,853,767,892,992
  5. Step 5: Solve for x
    x = 2,559,547,532,141,853,767,892,992/719,494,903,234.50
  6. Step 6: Final answer
    x = 3,557,422,742,864.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.