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Finding the Third Proportional to 15,378,619.50 and 21,629,014.88

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Solution

The third proportional to 15,378,619.50 and 21,629,014.88 is: 30,419,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378,619.50 : 21,629,014.88 = 21,629,014.88 : x
  2. Step 2: Convert to fraction form
    15,378,619.50/21,629,014.88 = 21,629,014.88/x
  3. Step 3: Cross multiply
    15,378,619.50x = 21,629,014.88 × 21,629,014.88
  4. Step 4: Simplify right side
    15,378,619.50x = 467,814,284,462,971.25
  5. Step 5: Solve for x
    x = 467,814,284,462,971.25/15,378,619.50
  6. Step 6: Final answer
    x = 30,419,784.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.