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Finding the Third Proportional to 6,247,469 and 9,437,768

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Solution

The third proportional to 6,247,469 and 9,437,768 is: 14,257,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247,469 : 9,437,768 = 9,437,768 : x
  2. Step 2: Convert to fraction form
    6,247,469/9,437,768 = 9,437,768/x
  3. Step 3: Cross multiply
    6,247,469x = 9,437,768 × 9,437,768
  4. Step 4: Simplify right side
    6,247,469x = 89,071,464,821,824
  5. Step 5: Solve for x
    x = 89,071,464,821,824/6,247,469
  6. Step 6: Final answer
    x = 14,257,207.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.