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Finding the Third Proportional to 5,287,106 and 7,965,663

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Solution

The third proportional to 5,287,106 and 7,965,663 is: 12,001,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287,106 : 7,965,663 = 7,965,663 : x
  2. Step 2: Convert to fraction form
    5,287,106/7,965,663 = 7,965,663/x
  3. Step 3: Cross multiply
    5,287,106x = 7,965,663 × 7,965,663
  4. Step 4: Simplify right side
    5,287,106x = 63,451,787,029,569
  5. Step 5: Solve for x
    x = 63,451,787,029,569/5,287,106
  6. Step 6: Final answer
    x = 12,001,232.25

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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.