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Finding the Third Proportional to 3,144,120 and 6,736,494

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Solution

The third proportional to 3,144,120 and 6,736,494 is: 14,433,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,120 : 6,736,494 = 6,736,494 : x
  2. Step 2: Convert to fraction form
    3,144,120/6,736,494 = 6,736,494/x
  3. Step 3: Cross multiply
    3,144,120x = 6,736,494 × 6,736,494
  4. Step 4: Simplify right side
    3,144,120x = 45,380,351,412,036
  5. Step 5: Solve for x
    x = 45,380,351,412,036/3,144,120
  6. Step 6: Final answer
    x = 14,433,403.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.