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Finding the Third Proportional to 9,331,431.75 and 13,343,963.25

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Solution

The third proportional to 9,331,431.75 and 13,343,963.25 is: 19,081,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331,431.75 : 13,343,963.25 = 13,343,963.25 : x
  2. Step 2: Convert to fraction form
    9,331,431.75/13,343,963.25 = 13,343,963.25/x
  3. Step 3: Cross multiply
    9,331,431.75x = 13,343,963.25 × 13,343,963.25
  4. Step 4: Simplify right side
    9,331,431.75x = 178,061,355,217,350.56
  5. Step 5: Solve for x
    x = 178,061,355,217,350.56/9,331,431.75
  6. Step 6: Final answer
    x = 19,081,890.11

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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.