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Finding the Third Proportional to 831,811,266 and 1,802,327,562

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Solution

The third proportional to 831,811,266 and 1,802,327,562 is: 3,905,194,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,811,266 : 1,802,327,562 = 1,802,327,562 : x
  2. Step 2: Convert to fraction form
    831,811,266/1,802,327,562 = 1,802,327,562/x
  3. Step 3: Cross multiply
    831,811,266x = 1,802,327,562 × 1,802,327,562
  4. Step 4: Simplify right side
    831,811,266x = 3,248,384,640,744,863,744
  5. Step 5: Solve for x
    x = 3,248,384,640,744,863,744/831,811,266
  6. Step 6: Final answer
    x = 3,905,194,331.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.