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Finding the Third Proportional to 9,476,730 and 13,859,676

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Solution

The third proportional to 9,476,730 and 13,859,676 is: 20,269,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,730 : 13,859,676 = 13,859,676 : x
  2. Step 2: Convert to fraction form
    9,476,730/13,859,676 = 13,859,676/x
  3. Step 3: Cross multiply
    9,476,730x = 13,859,676 × 13,859,676
  4. Step 4: Simplify right side
    9,476,730x = 192,090,618,824,976
  5. Step 5: Solve for x
    x = 192,090,618,824,976/9,476,730
  6. Step 6: Final answer
    x = 20,269,715.27

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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.