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Finding the Third Proportional to 6,464,774 and 9,641,109

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Solution

The third proportional to 6,464,774 and 9,641,109 is: 14,378,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,774 : 9,641,109 = 9,641,109 : x
  2. Step 2: Convert to fraction form
    6,464,774/9,641,109 = 9,641,109/x
  3. Step 3: Cross multiply
    6,464,774x = 9,641,109 × 9,641,109
  4. Step 4: Simplify right side
    6,464,774x = 92,950,982,749,881
  5. Step 5: Solve for x
    x = 92,950,982,749,881/6,464,774
  6. Step 6: Final answer
    x = 14,378,071.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.