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Finding the Third Proportional to 13,986,037.50 and 21,600,164.25

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Solution

The third proportional to 13,986,037.50 and 21,600,164.25 is: 33,359,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986,037.50 : 21,600,164.25 = 21,600,164.25 : x
  2. Step 2: Convert to fraction form
    13,986,037.50/21,600,164.25 = 21,600,164.25/x
  3. Step 3: Cross multiply
    13,986,037.50x = 21,600,164.25 × 21,600,164.25
  4. Step 4: Simplify right side
    13,986,037.50x = 466,567,095,626,978.06
  5. Step 5: Solve for x
    x = 466,567,095,626,978.06/13,986,037.50
  6. Step 6: Final answer
    x = 33,359,491.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.