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Finding the Third Proportional to 14,372,709.75 and 31,171,146.75

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Solution

The third proportional to 14,372,709.75 and 31,171,146.75 is: 67,603,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372,709.75 : 31,171,146.75 = 31,171,146.75 : x
  2. Step 2: Convert to fraction form
    14,372,709.75/31,171,146.75 = 31,171,146.75/x
  3. Step 3: Cross multiply
    14,372,709.75x = 31,171,146.75 × 31,171,146.75
  4. Step 4: Simplify right side
    14,372,709.75x = 971,640,389,710,035.50
  5. Step 5: Solve for x
    x = 971,640,389,710,035.50/14,372,709.75
  6. Step 6: Final answer
    x = 67,603,145.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.