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Finding the Third Proportional to 7,377,505,434 and 11,410,999,497

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Solution

The third proportional to 7,377,505,434 and 11,410,999,497 is: 17,649,720,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377,505,434 : 11,410,999,497 = 11,410,999,497 : x
  2. Step 2: Convert to fraction form
    7,377,505,434/11,410,999,497 = 11,410,999,497/x
  3. Step 3: Cross multiply
    7,377,505,434x = 11,410,999,497 × 11,410,999,497
  4. Step 4: Simplify right side
    7,377,505,434x = 130,210,909,520,534,257,664
  5. Step 5: Solve for x
    x = 130,210,909,520,534,257,664/7,377,505,434
  6. Step 6: Final answer
    x = 17,649,720,584.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.