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Finding the Third Proportional to 6,463,115 and 9,569,880

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Solution

The third proportional to 6,463,115 and 9,569,880 is: 14,170,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,115 : 9,569,880 = 9,569,880 : x
  2. Step 2: Convert to fraction form
    6,463,115/9,569,880 = 9,569,880/x
  3. Step 3: Cross multiply
    6,463,115x = 9,569,880 × 9,569,880
  4. Step 4: Simplify right side
    6,463,115x = 91,582,603,214,400
  5. Step 5: Solve for x
    x = 91,582,603,214,400/6,463,115
  6. Step 6: Final answer
    x = 14,170,040.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.