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Finding the Third Proportional to 863,180,019 and 1,261,999,377

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Solution

The third proportional to 863,180,019 and 1,261,999,377 is: 1,845,087,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,180,019 : 1,261,999,377 = 1,261,999,377 : x
  2. Step 2: Convert to fraction form
    863,180,019/1,261,999,377 = 1,261,999,377/x
  3. Step 3: Cross multiply
    863,180,019x = 1,261,999,377 × 1,261,999,377
  4. Step 4: Simplify right side
    863,180,019x = 1,592,642,427,548,388,096
  5. Step 5: Solve for x
    x = 1,592,642,427,548,388,096/863,180,019
  6. Step 6: Final answer
    x = 1,845,087,226.87

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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.