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Finding the Third Proportional to 9,694,780 and 14,743,604

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Solution

The third proportional to 9,694,780 and 14,743,604 is: 22,421,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694,780 : 14,743,604 = 14,743,604 : x
  2. Step 2: Convert to fraction form
    9,694,780/14,743,604 = 14,743,604/x
  3. Step 3: Cross multiply
    9,694,780x = 14,743,604 × 14,743,604
  4. Step 4: Simplify right side
    9,694,780x = 217,373,858,908,816
  5. Step 5: Solve for x
    x = 217,373,858,908,816/9,694,780
  6. Step 6: Final answer
    x = 22,421,742.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.