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Finding the Third Proportional to 1,469,312,928 and 3,196,895,760

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Solution

The third proportional to 1,469,312,928 and 3,196,895,760 is: 6,955,728,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,312,928 : 3,196,895,760 = 3,196,895,760 : x
  2. Step 2: Convert to fraction form
    1,469,312,928/3,196,895,760 = 3,196,895,760/x
  3. Step 3: Cross multiply
    1,469,312,928x = 3,196,895,760 × 3,196,895,760
  4. Step 4: Simplify right side
    1,469,312,928x = 10,220,142,500,305,977,344
  5. Step 5: Solve for x
    x = 10,220,142,500,305,977,344/1,469,312,928
  6. Step 6: Final answer
    x = 6,955,728,970.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.