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Finding the Third Proportional to 836,758,920 and 1,824,181,530

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Solution

The third proportional to 836,758,920 and 1,824,181,530 is: 3,976,818,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,920 : 1,824,181,530 = 1,824,181,530 : x
  2. Step 2: Convert to fraction form
    836,758,920/1,824,181,530 = 1,824,181,530/x
  3. Step 3: Cross multiply
    836,758,920x = 1,824,181,530 × 1,824,181,530
  4. Step 4: Simplify right side
    836,758,920x = 3,327,638,254,393,140,736
  5. Step 5: Solve for x
    x = 3,327,638,254,393,140,736/836,758,920
  6. Step 6: Final answer
    x = 3,976,818,382.04

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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.