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Finding the Third Proportional to 6,991,294.50 and 14,954,022

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Solution

The third proportional to 6,991,294.50 and 14,954,022 is: 31,985,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,294.50 : 14,954,022 = 14,954,022 : x
  2. Step 2: Convert to fraction form
    6,991,294.50/14,954,022 = 14,954,022/x
  3. Step 3: Cross multiply
    6,991,294.50x = 14,954,022 × 14,954,022
  4. Step 4: Simplify right side
    6,991,294.50x = 223,622,773,976,484
  5. Step 5: Solve for x
    x = 223,622,773,976,484/6,991,294.50
  6. Step 6: Final answer
    x = 31,985,889.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.