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Finding the Third Proportional to 836,758,911.75 and 1,824,181,509

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Solution

The third proportional to 836,758,911.75 and 1,824,181,509 is: 3,976,818,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,911.75 : 1,824,181,509 = 1,824,181,509 : x
  2. Step 2: Convert to fraction form
    836,758,911.75/1,824,181,509 = 1,824,181,509/x
  3. Step 3: Cross multiply
    836,758,911.75x = 1,824,181,509 × 1,824,181,509
  4. Step 4: Simplify right side
    836,758,911.75x = 3,327,638,177,777,517,056
  5. Step 5: Solve for x
    x = 3,327,638,177,777,517,056/836,758,911.75
  6. Step 6: Final answer
    x = 3,976,818,329.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.