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Finding the Third Proportional to 14,332,043.25 and 31,183,465.50

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Solution

The third proportional to 14,332,043.25 and 31,183,465.50 is: 67,848,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332,043.25 : 31,183,465.50 = 31,183,465.50 : x
  2. Step 2: Convert to fraction form
    14,332,043.25/31,183,465.50 = 31,183,465.50/x
  3. Step 3: Cross multiply
    14,332,043.25x = 31,183,465.50 × 31,183,465.50
  4. Step 4: Simplify right side
    14,332,043.25x = 972,408,520,589,690.25
  5. Step 5: Solve for x
    x = 972,408,520,589,690.25/14,332,043.25
  6. Step 6: Final answer
    x = 67,848,561.69

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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.