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Finding the Third Proportional to 4,754,662.50 and 7,222,916.50

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Solution

The third proportional to 4,754,662.50 and 7,222,916.50 is: 10,972,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754,662.50 : 7,222,916.50 = 7,222,916.50 : x
  2. Step 2: Convert to fraction form
    4,754,662.50/7,222,916.50 = 7,222,916.50/x
  3. Step 3: Cross multiply
    4,754,662.50x = 7,222,916.50 × 7,222,916.50
  4. Step 4: Simplify right side
    4,754,662.50x = 52,170,522,765,972.25
  5. Step 5: Solve for x
    x = 52,170,522,765,972.25/4,754,662.50
  6. Step 6: Final answer
    x = 10,972,497.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.