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Finding the Third Proportional to 7,986,679.50 and 17,492,964

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Solution

The third proportional to 7,986,679.50 and 17,492,964 is: 38,314,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986,679.50 : 17,492,964 = 17,492,964 : x
  2. Step 2: Convert to fraction form
    7,986,679.50/17,492,964 = 17,492,964/x
  3. Step 3: Cross multiply
    7,986,679.50x = 17,492,964 × 17,492,964
  4. Step 4: Simplify right side
    7,986,679.50x = 306,003,789,505,296
  5. Step 5: Solve for x
    x = 306,003,789,505,296/7,986,679.50
  6. Step 6: Final answer
    x = 38,314,269.34

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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.