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Finding the Third Proportional to 1,469,220,294 and 2,246,560,728

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Solution

The third proportional to 1,469,220,294 and 2,246,560,728 is: 3,435,179,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,220,294 : 2,246,560,728 = 2,246,560,728 : x
  2. Step 2: Convert to fraction form
    1,469,220,294/2,246,560,728 = 2,246,560,728/x
  3. Step 3: Cross multiply
    1,469,220,294x = 2,246,560,728 × 2,246,560,728
  4. Step 4: Simplify right side
    1,469,220,294x = 5,047,035,104,591,890,432
  5. Step 5: Solve for x
    x = 5,047,035,104,591,890,432/1,469,220,294
  6. Step 6: Final answer
    x = 3,435,179,275.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.