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Finding the Third Proportional to 344,936,761.03 and 748,091,188.69

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Solution

The third proportional to 344,936,761.03 and 748,091,188.69 is: 1,622,443,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,936,761.03 : 748,091,188.69 = 748,091,188.69 : x
  2. Step 2: Convert to fraction form
    344,936,761.03/748,091,188.69 = 748,091,188.69/x
  3. Step 3: Cross multiply
    344,936,761.03x = 748,091,188.69 × 748,091,188.69
  4. Step 4: Simplify right side
    344,936,761.03x = 559,640,426,591,876,736
  5. Step 5: Solve for x
    x = 559,640,426,591,876,736/344,936,761.03
  6. Step 6: Final answer
    x = 1,622,443,560.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.