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Finding the Third Proportional to 9,694,080 and 14,353,947

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Solution

The third proportional to 9,694,080 and 14,353,947 is: 21,253,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694,080 : 14,353,947 = 14,353,947 : x
  2. Step 2: Convert to fraction form
    9,694,080/14,353,947 = 14,353,947/x
  3. Step 3: Cross multiply
    9,694,080x = 14,353,947 × 14,353,947
  4. Step 4: Simplify right side
    9,694,080x = 206,035,794,478,809
  5. Step 5: Solve for x
    x = 206,035,794,478,809/9,694,080
  6. Step 6: Final answer
    x = 21,253,774.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.