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Finding the Third Proportional to 863,180,021 and 1,261,999,380

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Solution

The third proportional to 863,180,021 and 1,261,999,380 is: 1,845,087,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,180,021 : 1,261,999,380 = 1,261,999,380 : x
  2. Step 2: Convert to fraction form
    863,180,021/1,261,999,380 = 1,261,999,380/x
  3. Step 3: Cross multiply
    863,180,021x = 1,261,999,380 × 1,261,999,380
  4. Step 4: Simplify right side
    863,180,021x = 1,592,642,435,120,384,512
  5. Step 5: Solve for x
    x = 1,592,642,435,120,384,512/863,180,021
  6. Step 6: Final answer
    x = 1,845,087,231.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.