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Finding the Third Proportional to 247,659,869 and 534,099,536

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Solution

The third proportional to 247,659,869 and 534,099,536 is: 1,151,830,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,659,869 : 534,099,536 = 534,099,536 : x
  2. Step 2: Convert to fraction form
    247,659,869/534,099,536 = 534,099,536/x
  3. Step 3: Cross multiply
    247,659,869x = 534,099,536 × 534,099,536
  4. Step 4: Simplify right side
    247,659,869x = 285,262,314,355,415,296
  5. Step 5: Solve for x
    x = 285,262,314,355,415,296/247,659,869
  6. Step 6: Final answer
    x = 1,151,830,999.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.