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Finding the Third Proportional to 13,223,729.25 and 20,434,029.75

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Solution

The third proportional to 13,223,729.25 and 20,434,029.75 is: 31,575,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,729.25 : 20,434,029.75 = 20,434,029.75 : x
  2. Step 2: Convert to fraction form
    13,223,729.25/20,434,029.75 = 20,434,029.75/x
  3. Step 3: Cross multiply
    13,223,729.25x = 20,434,029.75 × 20,434,029.75
  4. Step 4: Simplify right side
    13,223,729.25x = 417,549,571,823,885.06
  5. Step 5: Solve for x
    x = 417,549,571,823,885.06/13,223,729.25
  6. Step 6: Final answer
    x = 31,575,780.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.