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Finding the Third Proportional to 14,412,408.75 and 31,484,207.25

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Solution

The third proportional to 14,412,408.75 and 31,484,207.25 is: 68,777,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412,408.75 : 31,484,207.25 = 31,484,207.25 : x
  2. Step 2: Convert to fraction form
    14,412,408.75/31,484,207.25 = 31,484,207.25/x
  3. Step 3: Cross multiply
    14,412,408.75x = 31,484,207.25 × 31,484,207.25
  4. Step 4: Simplify right side
    14,412,408.75x = 991,255,306,160,952.50
  5. Step 5: Solve for x
    x = 991,255,306,160,952.50/14,412,408.75
  6. Step 6: Final answer
    x = 68,777,906.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.