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Finding the Third Proportional to 6,739,294.50 and 14,738,297.63

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Solution

The third proportional to 6,739,294.50 and 14,738,297.63 is: 32,231,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739,294.50 : 14,738,297.63 = 14,738,297.63 : x
  2. Step 2: Convert to fraction form
    6,739,294.50/14,738,297.63 = 14,738,297.63/x
  3. Step 3: Cross multiply
    6,739,294.50x = 14,738,297.63 × 14,738,297.63
  4. Step 4: Simplify right side
    6,739,294.50x = 217,217,416,883,080.62
  5. Step 5: Solve for x
    x = 217,217,416,883,080.62/6,739,294.50
  6. Step 6: Final answer
    x = 32,231,477.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.