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Finding the Third Proportional to 7,314,138 and 10,944,720

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Solution

The third proportional to 7,314,138 and 10,944,720 is: 16,377,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314,138 : 10,944,720 = 10,944,720 : x
  2. Step 2: Convert to fraction form
    7,314,138/10,944,720 = 10,944,720/x
  3. Step 3: Cross multiply
    7,314,138x = 10,944,720 × 10,944,720
  4. Step 4: Simplify right side
    7,314,138x = 119,786,895,878,400
  5. Step 5: Solve for x
    x = 119,786,895,878,400/7,314,138
  6. Step 6: Final answer
    x = 16,377,445.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.