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Finding the Third Proportional to 14,957,863.50 and 32,150,224.50

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Solution

The third proportional to 14,957,863.50 and 32,150,224.50 is: 69,103,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957,863.50 : 32,150,224.50 = 32,150,224.50 : x
  2. Step 2: Convert to fraction form
    14,957,863.50/32,150,224.50 = 32,150,224.50/x
  3. Step 3: Cross multiply
    14,957,863.50x = 32,150,224.50 × 32,150,224.50
  4. Step 4: Simplify right side
    14,957,863.50x = 1,033,636,935,400,400.25
  5. Step 5: Solve for x
    x = 1,033,636,935,400,400.25/14,957,863.50
  6. Step 6: Final answer
    x = 69,103,246.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.