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Finding the Third Proportional to 9,013,166 and 13,746,766

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Solution

The third proportional to 9,013,166 and 13,746,766 is: 20,966,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013,166 : 13,746,766 = 13,746,766 : x
  2. Step 2: Convert to fraction form
    9,013,166/13,746,766 = 13,746,766/x
  3. Step 3: Cross multiply
    9,013,166x = 13,746,766 × 13,746,766
  4. Step 4: Simplify right side
    9,013,166x = 188,973,575,458,756
  5. Step 5: Solve for x
    x = 188,973,575,458,756/9,013,166
  6. Step 6: Final answer
    x = 20,966,392.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.