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Finding the Third Proportional to 14,677,920.75 and 31,245,408.75

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Solution

The third proportional to 14,677,920.75 and 31,245,408.75 is: 66,513,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677,920.75 : 31,245,408.75 = 31,245,408.75 : x
  2. Step 2: Convert to fraction form
    14,677,920.75/31,245,408.75 = 31,245,408.75/x
  3. Step 3: Cross multiply
    14,677,920.75x = 31,245,408.75 × 31,245,408.75
  4. Step 4: Simplify right side
    14,677,920.75x = 976,275,567,954,576.50
  5. Step 5: Solve for x
    x = 976,275,567,954,576.50/14,677,920.75
  6. Step 6: Final answer
    x = 66,513,206.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.