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Finding the Third Proportional to 9,476,713 and 13,859,655

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Solution

The third proportional to 9,476,713 and 13,859,655 is: 20,269,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,713 : 13,859,655 = 13,859,655 : x
  2. Step 2: Convert to fraction form
    9,476,713/13,859,655 = 13,859,655/x
  3. Step 3: Cross multiply
    9,476,713x = 13,859,655 × 13,859,655
  4. Step 4: Simplify right side
    9,476,713x = 192,090,036,719,025
  5. Step 5: Solve for x
    x = 192,090,036,719,025/9,476,713
  6. Step 6: Final answer
    x = 20,269,690.21

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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.