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Finding the Third Proportional to 831,651,213.94 and 1,789,437,690.56

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Solution

The third proportional to 831,651,213.94 and 1,789,437,690.56 is: 3,850,276,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,651,213.94 : 1,789,437,690.56 = 1,789,437,690.56 : x
  2. Step 2: Convert to fraction form
    831,651,213.94/1,789,437,690.56 = 1,789,437,690.56/x
  3. Step 3: Cross multiply
    831,651,213.94x = 1,789,437,690.56 × 1,789,437,690.56
  4. Step 4: Simplify right side
    831,651,213.94x = 3,202,087,248,405,653,504
  5. Step 5: Solve for x
    x = 3,202,087,248,405,653,504/831,651,213.94
  6. Step 6: Final answer
    x = 3,850,276,648.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.