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Finding the Third Proportional to 1,248,339,474 and 1,836,311,643

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Solution

The third proportional to 1,248,339,474 and 1,836,311,643 is: 2,701,220,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,339,474 : 1,836,311,643 = 1,836,311,643 : x
  2. Step 2: Convert to fraction form
    1,248,339,474/1,836,311,643 = 1,836,311,643/x
  3. Step 3: Cross multiply
    1,248,339,474x = 1,836,311,643 × 1,836,311,643
  4. Step 4: Simplify right side
    1,248,339,474x = 3,372,040,450,217,359,360
  5. Step 5: Solve for x
    x = 3,372,040,450,217,359,360/1,248,339,474
  6. Step 6: Final answer
    x = 2,701,220,717.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.