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Finding the Third Proportional to 9,331,441.50 and 13,343,977.50

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Solution

The third proportional to 9,331,441.50 and 13,343,977.50 is: 19,081,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331,441.50 : 13,343,977.50 = 13,343,977.50 : x
  2. Step 2: Convert to fraction form
    9,331,441.50/13,343,977.50 = 13,343,977.50/x
  3. Step 3: Cross multiply
    9,331,441.50x = 13,343,977.50 × 13,343,977.50
  4. Step 4: Simplify right side
    9,331,441.50x = 178,061,735,520,506.25
  5. Step 5: Solve for x
    x = 178,061,735,520,506.25/9,331,441.50
  6. Step 6: Final answer
    x = 19,081,910.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.