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Finding the Third Proportional to 9,476,736 and 13,859,712

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Solution

The third proportional to 9,476,736 and 13,859,712 is: 20,269,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,736 : 13,859,712 = 13,859,712 : x
  2. Step 2: Convert to fraction form
    9,476,736/13,859,712 = 13,859,712/x
  3. Step 3: Cross multiply
    9,476,736x = 13,859,712 × 13,859,712
  4. Step 4: Simplify right side
    9,476,736x = 192,091,616,722,944
  5. Step 5: Solve for x
    x = 192,091,616,722,944/9,476,736
  6. Step 6: Final answer
    x = 20,269,807.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.