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Finding the Third Proportional to 852,282,573 and 1,991,317,362

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Solution

The third proportional to 852,282,573 and 1,991,317,362 is: 4,652,617,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,282,573 : 1,991,317,362 = 1,991,317,362 : x
  2. Step 2: Convert to fraction form
    852,282,573/1,991,317,362 = 1,991,317,362/x
  3. Step 3: Cross multiply
    852,282,573x = 1,991,317,362 × 1,991,317,362
  4. Step 4: Simplify right side
    852,282,573x = 3,965,344,836,202,638,848
  5. Step 5: Solve for x
    x = 3,965,344,836,202,638,848/852,282,573
  6. Step 6: Final answer
    x = 4,652,617,525.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.