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Finding the Third Proportional to 400,510,036 and 831,715,676

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Solution

The third proportional to 400,510,036 and 831,715,676 is: 1,727,175,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,510,036 : 831,715,676 = 831,715,676 : x
  2. Step 2: Convert to fraction form
    400,510,036/831,715,676 = 831,715,676/x
  3. Step 3: Cross multiply
    400,510,036x = 831,715,676 × 831,715,676
  4. Step 4: Simplify right side
    400,510,036x = 691,750,965,704,136,960
  5. Step 5: Solve for x
    x = 691,750,965,704,136,960/400,510,036
  6. Step 6: Final answer
    x = 1,727,175,110.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.