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Finding the Third Proportional to 4,590,072.56 and 7,164,232.31

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Solution

The third proportional to 4,590,072.56 and 7,164,232.31 is: 11,182,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,072.56 : 7,164,232.31 = 7,164,232.31 : x
  2. Step 2: Convert to fraction form
    4,590,072.56/7,164,232.31 = 7,164,232.31/x
  3. Step 3: Cross multiply
    4,590,072.56x = 7,164,232.31 × 7,164,232.31
  4. Step 4: Simplify right side
    4,590,072.56x = 51,326,224,627,469.09
  5. Step 5: Solve for x
    x = 51,326,224,627,469.09/4,590,072.56
  6. Step 6: Final answer
    x = 11,182,007.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.