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Finding the Third Proportional to 831,811,268 and 1,802,327,566

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Solution

The third proportional to 831,811,268 and 1,802,327,566 is: 3,905,194,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,811,268 : 1,802,327,566 = 1,802,327,566 : x
  2. Step 2: Convert to fraction form
    831,811,268/1,802,327,566 = 1,802,327,566/x
  3. Step 3: Cross multiply
    831,811,268x = 1,802,327,566 × 1,802,327,566
  4. Step 4: Simplify right side
    831,811,268x = 3,248,384,655,163,484,160
  5. Step 5: Solve for x
    x = 3,248,384,655,163,484,160/831,811,268
  6. Step 6: Final answer
    x = 3,905,194,339.30

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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.