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Finding the Third Proportional to 3,097,968 and 6,747,108

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Solution

The third proportional to 3,097,968 and 6,747,108 is: 14,694,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,968 : 6,747,108 = 6,747,108 : x
  2. Step 2: Convert to fraction form
    3,097,968/6,747,108 = 6,747,108/x
  3. Step 3: Cross multiply
    3,097,968x = 6,747,108 × 6,747,108
  4. Step 4: Simplify right side
    3,097,968x = 45,523,466,363,664
  5. Step 5: Solve for x
    x = 45,523,466,363,664/3,097,968
  6. Step 6: Final answer
    x = 14,694,621.24

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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.