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Finding the Third Proportional to 9,694,773 and 14,743,593

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Solution

The third proportional to 9,694,773 and 14,743,593 is: 22,421,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694,773 : 14,743,593 = 14,743,593 : x
  2. Step 2: Convert to fraction form
    9,694,773/14,743,593 = 14,743,593/x
  3. Step 3: Cross multiply
    9,694,773x = 14,743,593 × 14,743,593
  4. Step 4: Simplify right side
    9,694,773x = 217,373,534,549,649
  5. Step 5: Solve for x
    x = 217,373,534,549,649/9,694,773
  6. Step 6: Final answer
    x = 22,421,725.04

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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.